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1
MEYEROVITCH, TOM. "Direct topological factorization for topological flows." Ergodic Theory and Dynamical Systems 37, no. 3 (November 27, 2015): 837–58. http://dx.doi.org/10.1017/etds.2015.67.
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This paper considers the general question of when a topological action of a countable group can be factored into a direct product of non-trivial actions. In the early 1980s, D. Lind considered such questions for $\mathbb{Z}$-shifts of finite type. In particular, we study direct factorizations of subshifts of finite type over $\mathbb{Z}^{d}$ and other groups, and $\mathbb{Z}$-subshifts which are not of finite type. The main results concern direct factors of the multidimensional full $n$-shift, the multidimensional $3$-colored chessboard and the Dyck shift over a prime alphabet. A direct factorization of an expansive $\mathbb{G}$-action must be finite, but an example is provided of a non-expansive $\mathbb{Z}$-action for which there is no finite direct-prime factorization. The question about existence of direct-prime factorization of expansive actions remains open, even for $\mathbb{G}=\mathbb{Z}$.
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Liang, Shuang. "Group action and its application on classification of low order groups." Theoretical and Natural Science 9, no. 1 (November 13, 2023): 157–62. http://dx.doi.org/10.54254/2753-8818/9/20240733.
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The classification of finite groups is an important topic in mathematics throughout history of mathematics. The topic of this paper is to use group action as a tool, to classify some special finite groups and some low order groups. First this paper introduces some concepts of group action. Then this paper states and proves some important theorems related to group action. For example, the Sylows theorem, which is very important in this paper. Research has found that, groups of specific order, such as groups whose order are 2p,p^2, pq(p, q are distinct prime numbers), p3(p is prime) can be classified using group action and the technique of semi-direct product, and groups whose order are no more than 15 are classified which can be seen as the special situations of the above ones. But in general, to make classification of a larger range of finite groups, more tools should be introduced.
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Broodryk, Theo. "The appealability of decisions to certify class actions: Where are we now? A proposed approach after Stellenbosch University Law Clinic v Lifestyle Direct Group International (Pty) Ltd (WCC)." South African Law Journal 140, no. 2 (2023): 263–84. http://dx.doi.org/10.47348/salj/v140/i2a2.
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Decisions refusing to certify class proceedings are appealable. The position regarding the appealability of decisions certifying class actions is, however, less clear. Regrettably, in Stellenbosch University Law Clinic v Lifestyle Direct Group International (Pty) Ltd [2021] JOL 51475 (WCC), the court did not give a final ruling on whether a decision to certify a class action is appealable. Gamble J merely assumed, without deciding, that his decision in Stellenbosch University Law Clinic v Lifestyle Direct Group International (Pty) Ltd 2022 (2) SA 237 (WCC) to certify the class action was appealable. This article aims to clarify the preferred approach when deciding whether to permit an appeal against a decision to certify a class action.
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Amini, Massoud, Kang Li, Damian Sawicki, and Ali Shakibazadeh. "Dynamic asymptotic dimension for actions of virtually cyclic groups." Proceedings of the Edinburgh Mathematical Society 64, no. 2 (May 2021): 364–72. http://dx.doi.org/10.1017/s0013091521000183.
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We show that the dynamic asymptotic dimension of an action of an infinite virtually cyclic group on a compact Hausdorff space is always one if the action has the marker property. This in particular covers a well-known result of Guentner, Willett, and Yu for minimal free actions of infinite cyclic groups. As a direct consequence, we substantially extend a famous result by Toms and Winter on the nuclear dimension of $C^{*}$-algebras arising from minimal free $\mathbb {Z}$-actions. Moreover, we also prove the marker property for all free actions of countable groups on finite-dimensional compact Hausdorff spaces, generalizing a result of Szabó in the metrisable setting.
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Zillekens, Imme Christina, Lena Maria Schliephake, Marie-Luise Brandi, and Leonhard Schilbach. "A look at actions: direct gaze modulates functional connectivity of the right TPJ with an action control network." Social Cognitive and Affective Neuroscience 14, no. 9 (September 2019): 977–86. http://dx.doi.org/10.1093/scan/nsz071.
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ABSTRACT Social signals such as eye contact and motor actions are essential elements of social interactions. However, our knowledge about the interplay of gaze signals and the control of actions remains limited. In a group of 30 healthy participants, we investigated the effect of gaze (direct gaze vs averted) on behavioral and neural measures of action control as assessed by a spatial congruency task (spatially congruent vs incongruent button presses in response to gaze shifts). Behavioral results demonstrate that inter-individual differences in condition-specific incongruency costs were associated with autistic traits. While there was no interaction effect of gaze and action control on brain activation, in a context of incongruent responses to direct gaze shifts, a psychophysiological interaction analysis showed increased functional coupling between the right temporoparietal junction, a key region in gaze processing, and the inferior frontal gyri, which have been related to both social cognition and motor inhibition. Conversely, incongruency costs to averted gaze were reflected in increased connectivity with action control areas implicated in top-down attentional processes. Our findings indicate that direct gaze perception inter-individually modulates motor actions and enforces the functional integration of gaze-related social cognition and action control processes, thereby connecting functional elements of social interactions.
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(Stanciu) Florescu, Mihaela Felicia, and Adrian Turek Rahoveanu. "Local Action Group - a pillar of the development of the Romanian village." SHS Web of Conferences 95 (2021): 01013. http://dx.doi.org/10.1051/shsconf/20219501013.
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The Local Action Groups have the capacity to act in a complex way, so as to cover the entire economic and social issues of the regions where they act. The actions carried out by the LAGs have direct consequences on rural development by encouraging those projects that develop alternative solutions in obtaining revenues; diversification of the market for products and services; ensuring sustainable development, by protecting the environment and ensuring the security and well-being of life. This article makes an analysis of the impact of European funding in supporting the development of the rural environment of the area of influence of a Local Action Group in Olt County. It describes the situation of European funding at LAG level and the proposal of development directions that need to be considered in the future: increasing competitiveness in agricultural activities, sustainable use of resources and balanced development of economic activities and local communities in rural areas.
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Brookes, Matthew D. G. K. "Congruences on the partial automorphism monoid of a free group action." International Journal of Algebra and Computation 31, no. 06 (June 3, 2021): 1147–76. http://dx.doi.org/10.1142/s0218196721400075.
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We study congruences on the partial automorphism monoid of a finite rank free group action. We determine a decomposition of a congruence on this monoid into a Rees congruence, a congruence on a Brandt semigroup and an idempotent separating congruence. The constituent parts are further described in terms of subgroups of direct and semidirect products of groups. We utilize this description to demonstrate how the number of congruences on the partial automorphism monoid depends on the group and the rank of the action.
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Burov, Dmitry A. "Subgroups of direct products of groups invariant under the action of permutations on factors." Discrete Mathematics and Applications 30, no. 4 (August 26, 2020): 243–55. http://dx.doi.org/10.1515/dma-2020-0021.
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AbstractWe study subgroups of the direct product of two groups invariant under the action of permutations on factors. An invariance criterion for the subdirect product of two groups under the action of permutations on factors is put forward. Under certain additional constraints on permutations, we describe the subgroups of the direct product of a finite number of groups that are invariant under the action of permutations on factors. We describe the subgroups of the additive group of vector space over a finite field of characteristic 2 which are invariant under the coordinatewise action of inversion permutation of nonzero elements of the field.
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Lo, Chung Kwan. "Examining the Flipped Classroom through Action Research." Mathematics Teacher 110, no. 8 (April 2017): 624–27. http://dx.doi.org/10.5951/mathteacher.110.8.0624.
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There is a growing interest in using a flipped classroom format in day-to-day teaching. According to Bishop and Verleger (2013), direct computer-based individual instruction outside the classroom and interactive group learning activities inside the classroom are the two essential components of the flipped classroom model. By watching instructional videos, students can work through some materials before class. Therefore, the in-class time is no longer occupied by teachers' direct instruction. Teachers can provide more interactive learning activities to facilitate peer interactions.
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Nonkané, Ibrahim, and Latevi Lawson. "Invariant differential operators and the generalized symmetric group." Gulf Journal of Mathematics 13, no. 2 (September 16, 2022): 19–32. http://dx.doi.org/10.56947/gjom.v13i2.738.
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In this paper we study the decomposition of the direct image of π+(OX) the polynomial ring OX as a D-module, under the map π: spec OX →spec OXG(r,n), where OXG(r,n) is the ring of invariant polynomial under the action of the wreath product G(r, p):= Z/rZ ~Sn. We first describe the generators of the simple components of π+(OX) and give their multiplicities. Using an equivalence of categories and the higher Specht polynomials, we describe a D-module decomposition of the polynomial ring localized at the discriminant of π. Furthermore, we study the action invariants, differential operators, on the higher Specht polynomials
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Broer, Abraham. "Invariant Theory of Abelian Transvection Groups." Canadian Mathematical Bulletin 53, no. 3 (September 1, 2010): 404–11. http://dx.doi.org/10.4153/cmb-2010-044-6.
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AbstractLet G be a finite group acting linearly on the vector space V over a field of arbitrary characteristic. The action is called coregular if the invariant ring is generated by algebraically independent homogeneous invariants, and the direct summand property holds if there is a surjective k[V]G-linear map π : k[V] → k[V]G.The following Chevalley–Shephard–Todd type theorem is proved. Suppose G is abelian. Then the action is coregular if and only if G is generated by pseudo-reflections and the direct summand property holds.
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Cohen, Daniel C. "Cohomology rings of almost-direct products of free groups." Compositio Mathematica 146, no. 2 (January 22, 2010): 465–79. http://dx.doi.org/10.1112/s0010437x09004424.
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AbstractAn almost-direct product of free groups is an iterated semidirect product of finitely generated free groups in which the action of the constituent free groups on the homology of one another is trivial. We determine the structure of the cohomology ring of such a group. This is used to analyze the topological complexity of the associated Eilenberg–MacLane space.
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ARATYN, H., E. NISSIMOV, and S. PACHEVA. "COSET CONSTRUCTION OF SUPERSTRINGS VIA THE COADJOINT ORBIT METHOD." Modern Physics Letters A 05, no. 31 (December 20, 1990): 2615–24. http://dx.doi.org/10.1142/s0217732390003048.
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The previously proposed general construction of geometric actions on infinite-dimensional group coadjoint orbits in terms of fundamental group one-cocycles is applied to provide an alternative formulation of the Green-Schwarz superstring. It is shown that the latter model can be consistently constructed as geometric action on a certain infinite-dimensional coset space of the semi-direct product of left- and right-handed Virasoro groups with a Kac-Moody group based on an appropriate modification of the super-Heisenberg-Weyl group.
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Alrehaili, S., and Charef Beddani. "Bounds on the Action Degree of Groups." MATEMATIKA 35, no. 2 (July 31, 2019): 271–82. http://dx.doi.org/10.11113/matematika.v35.n2.1114.
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The commutativity degree is the probability that a pair of elements chosen randomly from a group commute. The concept of commutativity degree has been widely discussed by several authors in many directions. One of the important generalizations of commutativity degree is the probability that a random element from a finite group G fixes a random element from a non-empty set S that we call the action degree of groups. In this research, the concept of action degree is further studied where some inequalities and bounds on the action degree of finite groups are determined. Moreover, a general relation between the action degree of a finite group G and a subgroup H is provided. Next, the action degree for the direct product of two finite groups is determined. Previously, the action degree was only defined for finite groups, the action degree for finitely generated groups will be defined in this research and some bounds on them are going to be determined.
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YAGUCHI, YOSHIRO. "ISOTROPY SUBGROUP OF HURWITZ ACTION OF THE 3-BRAID GROUP ON THE BRAID SYSTEMS." Journal of Knot Theory and Its Ramifications 18, no. 07 (July 2009): 1021–30. http://dx.doi.org/10.1142/s0218216509007270.
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The Hurwitz action of the n-braid group Bn on the n-fold direct product Bmn of the m-braid group Bm is studied. We show that the isotropy subgroup of the Hurwitz group action of B3 at the triple of the standard generators of B4 has index 16, by explicitly describing a complete system of coset representatives. An application to the braided surfaces in 4-space is also given.
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Papistas, Athanassios I. "On the module structure of a group action on a Lie algebra." Journal of the Australian Mathematical Society 82, no. 2 (April 2007): 237–48. http://dx.doi.org/10.1017/s1446788700016050.
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AbstractLet G be a finite group, K a field, and V a finite-dimensional K G-module. Write L(V) for the free Lie algebra on V; similarly, let M ( V) be the free metabelian Lie algebra. The action of G extends naturally to these algebras, so they become KG-modules, which are direct sums of finite-dimensional submodules. This paper explores whether indecomposable direct summands of such a KG-module (for some specific choices of G, K and V) must fall into finitely many isomorphism classes. Of course this is not a question unless there exist infinitely many isomorphism classes of indecomposable KG-modules (that is, K has positive characteristic p and the Sylow p-subgroups of G are non-cyclic) and dim V > 1.The first two results show that the answer is positive for M(V) when K is finite and dim V = 2, but negative when G is the Klein four-group, the characteristic of K is 2, and V is the unique 3-dimnsional submodule of the regular module D. In the third result, G is again the Klein four-group, K is any field of charateristic 2 with more than 2 elements, V is any faithfull module of dimension 2, and B is the unique 3-dimensional quotient of D; the answer is positive for L(V) if and only if it is positive for each of L(B), L(D), and L(V ⊗ V).
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LI, LIPING. "FINITISTIC DIMENSIONS AND PIECEWISE HEREDITARY PROPERTY OF SKEW GROUP ALGEBRAS." Glasgow Mathematical Journal 57, no. 3 (December 18, 2014): 509–17. http://dx.doi.org/10.1017/s0017089514000445.
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AbstractLet Λ be a finite-dimensional algebra and G be a finite group whose elements act on Λ as algebra automorphisms. Assume that Λ has a complete set E of primitive orthogonal idempotents, closed under the action of a Sylow p-subgroup S ≤ G. If the action of S on E is free, we show that the skew group algebra Λ G and Λ have the same finitistic dimension, and have the same strong global dimension if the fixed algebra ΛS is a direct summand of the ΛS-bimodule Λ. Using a homological characterization of piecewise hereditary algebras proved by Happel and Zacharia, we deduce a criterion for Λ G to be piecewise hereditary.
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Bockler, Jessica. "Group Coherence." Journal of Awareness-Based Systems Change 2, no. 2 (November 30, 2022): 173–82. http://dx.doi.org/10.47061/jasc.v2i2.5059.
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The purpose of this commentary is to offer reflections on the phenomenological inquiry undertaken by Guenther (2022), exploring the nature and potential of group coherence in addressing our global meta-crises. I deepen the discourse in three interrelated areas, to expand our understanding of collective coherence and to explore how we can approach researching it. Firstly, I highlight research, mapping the evidence for consciousness-based practices in engendering greater social harmony and coherence. Secondly, I shine a light onto the shadow sides of coherence and how the power of coherence may be abused for ill purposes. I argue that the cultivation of coherence must not only involve consciousness-raising practices, but that it must also entail direct engagement with social and systemic wounds and fragmentation. Thirdly, I call for multi-faceted forms of research, to enable us to gain a deeper appreciation of group coherence in varied life contexts. Building on Guenther’s vision, I affirm that this research must invite alternative and participatory ways of knowing, so that a multiplicity of voices, inner and outer, are heard and honoured in action.
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Martinez-Vaquero, Luis A., Francisco C. Santos, and Vito Trianni. "Signalling boosts the evolution of cooperation in repeated group interactions." Journal of The Royal Society Interface 17, no. 172 (November 2020): 20200635. http://dx.doi.org/10.1098/rsif.2020.0635.
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Many biological and social systems show significant levels of collective action. Several cooperation mechanisms have been proposed, yet they have been mostly studied independently. Among these, direct reciprocity supports cooperation on the basis of repeated interactions among individuals. Signals and quorum dynamics may also drive cooperation. Here, we resort to an evolutionary game-theoretical model to jointly analyse these two mechanisms and study the conditions in which evolution selects for direct reciprocity, signalling, or their combination. We show that signalling alone leads to higher levels of cooperation than when combined with reciprocity, while offering additional robustness against errors. Specifically, successful strategies in the realm of direct reciprocity are often not selected in the presence of signalling, and memory of past interactions is only exploited opportunistically in the case of earlier coordination failure. Differently, signalling always evolves, even when costly. In the light of these results, it may be easier to understand why direct reciprocity has been observed only in a limited number of cases among non-humans, whereas signalling is widespread at all levels of complexity.
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Panov, Aleksandr. "Fields of U-invariants of matrix tuples." Electronic Journal of Linear Algebra 39 (March 31, 2023): 117–23. http://dx.doi.org/10.13001/ela.2023.7355.
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The general linear group $\mathrm{GL}(n)$ acts on the direct sum of $m$ copies of $\mathrm{Mat}(n)$ by the adjoint action. The action of $\mathrm{GL}(n)$ induces the action of the unitriangular subgroup $U$. We present the system of free generators of the field of $U$-invariants.
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Dartiningsih, Made Wery, and Ni Luh Trisna Anggareni. "IMPLEMENTATION OF GROUP GUIDANCE WITH GROUP DISCUSSION TECHNIQUES TO INCREASE LEARNING INTEREST OF STUDENTS SMAN 1 SUSUT." Indonesian Journal of Educational Development (IJED) 4, no. 1 (May 22, 2023): 76–82. http://dx.doi.org/10.59672/ijed.v4i1.2708.
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This study aims to determine the application of group guidance using group discussion techniques to increase the learning interest of grade XII Language 3 students at SMAN 1 Susut in the academic year 2022/2023. This research includes Classroom Action Research, an effort carried out in a planned and systematic way by reflecting on service practices and then carrying out corrective actions to improve counseling service practices. The subjects of this study were students of class XII Language 3 SMAN 1 Susut who were selected for one class that showed a problem regarding low interest in learning, which was determined based on data from the guidance and counseling teacher as well as direct observation of the researcher, then through the interest in learning instrument it was found that five students became research subject. The results of this study indicate that group counseling services with group discussion techniques are very effective and can increase students' interest in learning by 73.8%. The researchers suggest counseling guidance teachers can use group guidance services with group discussion techniques as an appropriate alternative to address student problems, significantly increasing student interest in learning at SMAN 1 Susut.
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Ramos Ali Ganem, Isabela, Luiz Claudio Behrmann Martins, and Carlos Eduardo Mendonça Tomé. "Management of Hemorrhage Related to Direct Action Oral Anticoagulant Medication." Journal of Cardiac Arrhythmias 32, no. 2 (October 21, 2019): 89–96. http://dx.doi.org/10.24207/jca.v32i2.008_in.
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Introduction: Direct Oral Anticoagulant – DOACs) are a new class of anticoagulant that directly inhibit the trombine (dabigatran) or Xa factor (rivaroxabane , edoxabane and apixabane) in the coagulation cascade. These medications are being more frequently used for the treatment and prevention of thrombolytic events, mainly in patients with atrial fibrillation, in substitute to varfrine or other vitamin K antagonists (VKAs). Although the incidence of hemorrhage is higher in AVKs than in DOACs, these events may also occur in this group, even in the form of intracranial hemorrhage (ICH), with risk of death. Nowadays, DOACs indications have progressively enhanced and the availability of their specific reverse agents certainly will enhance the safety of their usage. Idarucizumab, reverse agent of dabigatrane, and alpha andexanet, reverse agent of Xa factor, have been approved by the Food and Drug Administration in the United States and ciraparantag may be approved in a near future. Objective: To review the literature on the manage of hemorrhage related to the use of DOACs. Methods: Review of literature that used articles from 1998 to 2017, from several platforms and journals. Conclusion: DOACs constitute a great advance in prophylaxis and treatment of thrombolytic diseases, which presents elevated morbidymortality, and hemorrhages are the main adverse events related to their usage, being rarely necessary the immediate reverse of the anticoagulation. However, the existence of DOACs specific reverse agents enhance the safety of patients, whose anticoagulation may be rapidly reversed if necessary.
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CASTRO, CARLOS. "AN EXCEPTIONAL E8 GAUGE THEORY OF GRAVITY IN D = 8, CLIFFORD SPACES AND GRAND UNIFICATION." International Journal of Geometric Methods in Modern Physics 06, no. 06 (September 2009): 911–30. http://dx.doi.org/10.1142/s0219887809003916.
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A candidate action for an Exceptional E8 gauge theory of gravity in 8D is constructed. It is obtained by recasting the E8 group as the semi-direct product of GL(8,R) with a deformed Weyl–Heisenberg group associated with canonical-conjugate pairs of vectorial and antisymmetric tensorial generators of rank two and three. Other actions are proposed, like the quarticE8 group-invariant action in 8D associated with the Chern–Simons E8 gauge theory defined on the 7-dim boundary of a 8D bulk. To finalize, it is shown how the E8 gauge theory of gravity can be embedded into a more general extended gravitational theory in Clifford spaces associated with the Cl(16) algebra and providing a solid geometrical program of a grand unification of gravity with Yang–Mills theories. The key question remains if this novel gravitational model based on gauging the E8 group may still be renormalizable without spoiling unitarity at the quantum level.
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Gauthier, Jeffrey A. "The Politics of Legal Abortion: From Direct Action to Dialogue." Hypatia 36, no. 4 (2021): 800–804. http://dx.doi.org/10.1017/hyp.2021.57.
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In her highly influential 1984 study Abortion and the Politics of Motherhood, Kristin Luker speculates that opposition to legal abortion among women was likely to be strongest among those who were full-time homemakers without a college education (Luker 1984, 163). But despite a marked decline in that demographic group and a well-documented rise in public support for gender equality since then, the rate of support for legal abortion has remained stubbornly fixed at between fifty and fifty-five percent (Shields 2012). This tepid support has coincided with a steep decline in abortion services in rural states, and ever more sweeping restrictions on abortion being tested in the courts (Rose 2006, 89). Karissa Haugeberg's Women against Abortion and Katie Watson's Scarlet A both seek to address this state of affairs, albeit in markedly different ways. Haugeberg provides a historical chronicle of the motives and strategies of certain key women activists in the fight against legal abortion, with an eye toward how their concerns “came to serve as blueprints to legislators and judges who continue to craft policies and laws that erode women's right to abortion” (Haugeberg, 8). Katie Watson draws upon her experience as an attorney and bioethicist to write a guide “intended to encourage and equip you to engage in respectful, productive, private conversation about your experience with, and opinion of, abortion” (Watson, 37). Though both authors reveal their support for legal abortion, both are concerned to understand the motives and goals of those who fight against it.
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Dahlberg, Leif. "”Hope Dies – Action Begins”." K&K - Kultur og Klasse 51, no. 134-135 (May 2, 2023): 129–58. http://dx.doi.org/10.7146/kok.v51i134-135.137182.
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The article explores the use of civil disobedience and non-violent direct action (NVDA) as a strategy and method in climate activism in Sweden, with a particular focus on the group Extinction Rebellion (XR). The article describes and analyzes a number of XR actions carried out in 2019-2022, with a focus on meaning-making practices. The uses of civil disobedience and NVDA are presented within a historical, cultural and social context; the question of the role and legitimacy of civil disobedience in democratic societies is discussed.
XR has civil disobedience and NVDA as central strategy and in this way the group has put these protest methods in focus, and after each major action there is a need to both explain and justify their use. This is more noticeable in a Swedish cultural context that is characterized by consensus and a stigmatization of disobedience. This relationship in turn affects the planning and execution of disobedient and disruptive protest actions in Sweden. The article explores how activists in XR Sweden relate to this specific cultural context and how they try to influence it; hence XR Sweden works not only to influence those in power and public opinion regarding the climate crisis, but also on the possibilities and forms of civil political protests.The article is based on participant observation. These began in the spring of 2019 and are still ongoing. The study has an anthropological perspective, with an emphasis on semiotics and hermeneutics.
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Suárez-García, Diana M. A., Agustina Birba, Máximo Zimerman, Jesús A. Diazgranados, Pamela Lopes da Cunha, Agustín Ibáñez, Johan S. Grisales-Cárdenas, Juan Felipe Cardona, and Adolfo M. García. "Rekindling Action Language: A Neuromodulatory Study on Parkinson’s Disease Patients." Brain Sciences 11, no. 7 (July 1, 2021): 887. http://dx.doi.org/10.3390/brainsci11070887.
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Impairments of action semantics (a cognitive domain that critically engages motor brain networks) are pervasive in early Parkinson’s disease (PD). However, no study has examined whether action semantic skills in persons with this disease can be influenced by non-invasive neuromodulation. Here, we recruited 22 PD patients and performed a five-day randomized, blinded, sham-controlled study to assess whether anodal transcranial direct current stimulation (atDCS) over the primary motor cortex, combined with cognitive training, can boost action–concept processing. On day 1, participants completed a picture–word association (PWA) task involving action-verb and object-noun conditions. They were then randomly assigned to either an atDCS (n = 11, 2 mA for 20 m) or a sham tDCS (n = 11, 2 mA for 30 s) group and performed an online PWA practice over three days. On day 5, they repeated the initial protocol. Relative to sham tDCS, the atDCS group exhibited faster reaction times for action (as opposed to object) concepts in the post-stimulation test. This result was exclusive to the atDCS group and held irrespective of the subjects’ cognitive, executive, and motor skills, further attesting to its specificity. Our findings suggest that action-concept deficits in PD are distinctively grounded in motor networks and might be countered by direct neuromodulation of such circuits. Moreover, they provide new evidence for neurosemantic models and inform a thriving agenda in the embodied cognition framework.
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Verge, Pierre. "L'action d'intérêt collectif." Les Cahiers de droit 25, no. 3 (April 12, 2005): 553–78. http://dx.doi.org/10.7202/042612ar.
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Group action is inherent to a pluralistic society. In various fields, numerous bodies purport to defend and promote the common interest of their members which is also the raison d'être of the group. How receptive is the judicial system to attempts by such groups to legally defend the common aim ? « Collective actions » are brought to assure the legal protection of a collective value which is not of a general societal nature as is the public interest. However, their purpose is not to defend the subjective patrimonial interest of the members of the group or even of the group itself. The underlying collective interest is first to be objectively identified in order not to unduly curtail the reception of the collective action; then it is for the Court to establish whether there is a sufficient relationship between the collective interest and the general objects of the group, as officially defined, in order to allow the latter to act. This analysis of the « sufficient interest », as required by Sec. 55 C.C.P., it is suggested, appears to be more adapted to the nature of the collective action than the immediate requirement of a « direct and personal » interest from the group, at least if this notion is to be understood as involving some form of patrimonial interest, as in most trials.
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Capaldo, B., R. Napoli, P. Di Bonito, G. Albano, and L. Sacca. "Dual mechanism of insulin action on human skeletal muscle: identification of an indirect component not mediated by FFA." American Journal of Physiology-Endocrinology and Metabolism 260, no. 3 (March 1, 1991): E389—E394. http://dx.doi.org/10.1152/ajpendo.1991.260.3.e389.
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To determine whether insulin action on human skeletal muscle is entirely accounted for by a direct effect of insulin per se, we quantitated forearm glucose uptake (FGU) in two groups of normal subjects under conditions of identical forearm tissue insulinization (approximately 90 microU/ml) induced by means of systemic (group I) or intrabrachial insulin infusion (group II). With this approach, a difference of FGU between the two groups is demonstrative of the operation of indirect mechanisms in insulin action. During insulin infusion in group I, euglycemia was maintained by a variable glucose infusion, whereas arterial free fatty acid (FFA) concentration fell below 0.1 mM. In group II, arterial concentrations of both glucose and FFA remained unchanged, indicating that insulin effect was indeed restricted to the forearm tissues. With local insulin administration, FGU reached levels approximately 40% lower than those achieved with systemic insulin infusion (P less than 0.01-0.005). To determine whether this difference could be attributed to the fall in FFA concentration associated with systemic insulinization, FGU was also quantitated during a systemic insulin plus heparin infusion (group III) to maintain FFA at their basal levels. In this condition, insulin-stimulated FGU was not different from that observed in group I. These data demonstrate that 1) insulin action on skeletal muscle glucose disposal is mediated by a direct as well as an indirect component, and 2) the maintenance of basal FFA does not affect insulin-stimulated FGU, indicating that the indirect component of insulin action is mediated by a different mechanism.
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Honer, River, and Leerstand Hab Ich Saath. "Occupation for expropriation in Berlin." Radical Housing Journal 4, no. 1 (May 31, 2021): 93–97. http://dx.doi.org/10.54825/bxbe7896.
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This update focuses on organizing efforts by the direct action group, Leerstand Hab Ich Saath, which came together in Berlin during the pandemic to reclaim vacant housing for the unhoused. Here River Honer and Leerstand Hab Ich Saath explain the context for the action and its greater implication in housing justice organizing for building expropriation in Berlin.
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McKyton, Ayelet, Itay Ben-Zion, and Ehud Zohary. "Lack of Automatic Imitation in Newly Sighted Individuals." Psychological Science 29, no. 2 (December 12, 2017): 304–10. http://dx.doi.org/10.1177/0956797617731755.
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Viewing a hand action performed by another person facilitates a response-compatible action and slows a response-incompatible one, even when the viewed action is irrelevant to the task. This automatic imitation effect is taken as the clearest evidence for a direct mapping between action viewing and motor performance. But there is an ongoing debate whether this effect is innate or experience dependent. We tackled this issue by studying a unique group of newly sighted children who suffered from dense bilateral cataracts from early infancy and were surgically treated only years later. The newly sighted children were less affected by viewing task-irrelevant actions than were control children, even 2 years after the cataract-removal surgery. This strongly suggests that visually guided motor experience is necessary for the development of automatic imitation. At the very least, our results indicate that if imitation is based on innate mechanisms, these are clearly susceptible to long periods of visual deprivation.
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Curiel, Herman. "Parent Group Education to ENABLE “Barrio” Parents." Advances in Social Work 15, no. 1 (April 2, 2014): 51–62. http://dx.doi.org/10.18060/16648.
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This paper describes a 1960s “War on Poverty” parent group education program that brought together three national private voluntary agencies with federal funding by the Office of Economic Opportunity (OEO). Project ENABLE (Education Neighborhood Action for a Better Living Environment) sought to direct professional efforts to help/empower the poor and societal members of ethnic minority groups. Group education as a preventive modality was used to strengthen parents’ problem solving skills in their roles both as parents and as community leaders. The author describes his group leadership role together with that of the indigenous case aides who helped direct/enable the collective power of a group of poor Spanish speaking Mexican origin families living in barrios (neighborhoods) of a major metropolitan southern city. Project ENABLE embraced a strengths-based perspective characteristic of social work’s historical empowerment traditions. Despite its brief existence, Project ENABLE functioned as a demonstration program in 62 communities across the United States. Ironically, its prevention focus and demonstration nature served to undermine its ability to compete with other OEO initiatives like Head Start and job training programs. The author cites a combination of historical and logistic factors that contributed to the short life and ultimate demise of a once promising outreach program.
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Kurniawan, Prihadi. "Struktur Grup pada Pocket Cube." Square : Journal of Mathematics and Mathematics Education 4, no. 2 (October 28, 2022): 125–32. http://dx.doi.org/10.21580/square.2022.4.2.15517.
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The objective of this research is to examine the abstraction of a semi-direct product group that originates from a specific object, which is the pocket cube. The process involves constructing groups by identifying free groups that are produced from reduced rotation sequences with finite standard rotations within the pocket cube. Moreover, by taking the action group to the position and orientation of the cubino on the pocket cube, the set of member pairs in S_8 and Z_3^8 is derived. The investigation then focuses on various valid random patterns on the pocket cube to determine how they correspond to each element in the semi-direct product of S_8 and Z_3^8. Additionally, the study describes the randomness of the pocket cube pattern when two reduced rotation sequences are applied sequentially by analyzing the operational representation of the semi-direct product group members.Keywords: group, pocket cube, semi-direct product.
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Stanic, Snezana. "Anti-genotoxic effect of aloe vera gelR on the mutagenic action of ethyl methanesulfonate." Archives of Biological Sciences 59, no. 3 (2007): 223–26. http://dx.doi.org/10.2298/abs0703223s.
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The antimutagenic effect of aloe vera gelR was investigated using the Drosophila sex-linked recessive lethal test (or SLRL test). In this assay, 3-day-old adults were treated with a direct-acting mutagen - ethyl methanesulfonate (EMS), which was the positive control. The other group of individuals of the same age was firstly treated with EMS, and then with aloe vera gelR (co-treatment). When co-treatment experiments with aloe were carried out, it was effective in reducing genotoxicity of the direct-acting mutagen. .
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LANGER, MARTIN, and WOLFGANG LÜCK. "TOPOLOGICAL K-THEORY OF THE GROUP C*-ALGEBRA OF A SEMI-DIRECT PRODUCT ℤn ⋊ ℤ/m FOR A FREE CONJUGATION ACTION." Journal of Topology and Analysis 04, no. 02 (June 2012): 121–72. http://dx.doi.org/10.1142/s1793525312500082.
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We compute the topological K-theory of the group C*-algebra [Formula: see text] for a group extension 1 → ℤn → Γ → ℤ/m → 1 provided that the conjugation action of ℤ/m on ℤn is free outside the origin.
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Dai, Luo. "Modeling and Simulation of Athlete’s Error Motion Recognition Based on Computer Vision." Complexity 2021 (March 16, 2021): 1–10. http://dx.doi.org/10.1155/2021/5513957.
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Computer vision is widely used in manufacturing, sports, medical diagnosis, and other fields. In this article, a multifeature fusion error action expression method based on silhouette and optical flow information is proposed to overcome the shortcomings in the effectiveness of a single error action expression method based on the fusion of features for human body error action recognition. We analyse and discuss the human error action recognition method based on the idea of template matching to analyse the key issues that affect the overall expression of the error action sequences, and then, we propose a motion energy model based on the direct motion energy decomposition of the video clips of human error actions in the 3 Deron action sequence space through the filter group. The method can avoid preprocessing operations such as target localization and segmentation; then, we use MET features and combine with SVM to test the human body error database and compare the experimental results obtained by using different feature reduction and classification methods, and the results show that the method has the obvious comparative advantage in the recognition rate and is suitable for other dynamic scenes.
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Goswami, Debashish, and Arnab Mandal. "Quantum isometry groups of dual of finitely generated discrete groups and quantum groups." Reviews in Mathematical Physics 29, no. 03 (March 14, 2017): 1750008. http://dx.doi.org/10.1142/s0129055x17500088.
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We study quantum isometry groups, denoted by [Formula: see text], of spectral triples on [Formula: see text] for a finitely generated discrete group [Formula: see text] coming from the word-length metric with respect to a symmetric generating set [Formula: see text]. We first prove a few general results about [Formula: see text] including: • For a group [Formula: see text] with polynomial growth property, the dual of [Formula: see text] has polynomial growth property provided the action of [Formula: see text] on [Formula: see text] has full spectrum. •[Formula: see text] for any discrete abelian group [Formula: see text], where [Formula: see text] is a suitable metric on the dual compact abelian group [Formula: see text]. We then carry out explicit computations of [Formula: see text] for several classes of examples including free and direct product of cyclic groups, Baumslag–Solitar group, Coxeter groups etc. In particular, we have computed quantum isometry groups of all finitely generated abelian groups which do not have factors of the form [Formula: see text] or [Formula: see text] for some [Formula: see text] in the direct product decomposition into cyclic subgroups.
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Ahloulay, M., M. Dechaux, K. Laborde, and L. Bankir. "Influence of glucagon on GFR and on urea and electrolyte excretion: direct and indirect effects." American Journal of Physiology-Renal Physiology 269, no. 2 (August 1, 1995): F225—F235. http://dx.doi.org/10.1152/ajprenal.1995.269.2.f225.
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Clearance experiments were performed in anesthetized male Wistar rats to determine the level of peripheral glucagon concentration required to elicit changes in glomerular filtration rate (GFR) and in solute excretion. Glucagon was intravenously infused at a rate of 1.25 (group G-1, n = 8), 3.75 (group G-3, n = 7), or 12.5 (group G-10, n = 7) ng.min-1.100 g body wt-1 for 100 min. Measurements were performed before, during, and after this infusion. Group G-10 resulted in a plasma concentration of glucagon severalfold higher than usually observed in peripheral blood after a protein meal but normal for the hepatic circulation. Group G-10 simultaneously increased GFR, plasma adenosine 3',5'-cyclic monophosphate (cAMP) concentration, and the excretion of water (i.e., urinary flow rate), Na, Cl, PO4, K, and urea. Some of the effects of glucagon on electrolyte excretion were also observed with group G-1 and/or G-3 and were fully reversible, suggesting a direct renal action of glucagon. The significant and reversible increase in K excretion in group G-3 suggests that glucagon exerts a direct stimulatory influence on K secretion in the distal nephron. Increases in urinary flow rate, PO4, Na, and urea fractional excretions were seen with group G-10 only and were not reversible, suggesting an indirect action of glucagon on the proximal tubule. Because glucagon stimulates cAMP formation in hepatocytes and because this cAMP is released in the blood and secreted by proximal tubule cells, cAMP of hepatic origin could induce a parathyroid hormone-like effect in this nephron segment. In summary, these experiments suggest that glucagon influences different aspects of renal function by a combination of direct and indirect (probably liver-dependent) effects.
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O'Shaughnessy, P. J., G. Verhoeven, K. De Gendt, A. Monteiro, and M. H. Abel. "Direct Action through the Sertoli Cells Is Essential for Androgen Stimulation of Spermatogenesis." Endocrine Reviews 31, no. 2 (April 1, 2010): 261–62. http://dx.doi.org/10.1210/edrv.31.2.9994.
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ABSTRACT Androgens act to stimulate spermatogenesis through androgen receptors (ARs) on the Sertoli cells and peritubular myoid cells. Specific ablation of the AR in either cell type will cause a severe disruption of spermatogenesis. To determine whether androgens can stimulate spermatogenesis through direct action on the peritubular myoid cells alone or whether action on the Sertoli cells is essential, we crossed hypogonadal (hpg) mice that lack gonadotrophins and intratesticular androgen with mice lacking ARs either ubiquitously (ARKO) or specifically on the Sertoli cells (SCARKO). These hpg.ARKO and hpg.SCARKO mice were treated with testosterone (T) or dihydrotestosterone (DHT) for 7 d and testicular morphology and cell numbers assessed. Androgen treatment did not affect Sertoli cell numbers in any animal group. Both T and DHT increased numbers of spermatogonia and spermatocytes in hpg mice, but DHT has no effect on germ cell numbers in hpg.SCARKO and hpg.ARKO mice. T increased germ cell numbers in hpg.SCARKO and hpg.ARKO mice, but this was associated with stimulation of FSH release. Results show that androgen stimulation of spermatogenesis requires direct androgen action on the Sertoli cells.
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O'Shaughnessy, P. J., G. Verhoeven, K. De Gendt, A. Monteiro, and M. H. Abel. "Direct Action through the Sertoli Cells Is Essential for Androgen Stimulation of Spermatogenesis." Endocrinology 151, no. 5 (March 12, 2010): 2343–48. http://dx.doi.org/10.1210/en.2009-1333.
Full textAbstract:
Androgens act to stimulate spermatogenesis through androgen receptors (ARs) on the Sertoli cells and peritubular myoid cells. Specific ablation of the AR in either cell type will cause a severe disruption of spermatogenesis. To determine whether androgens can stimulate spermatogenesis through direct action on the peritubular myoid cells alone or whether action on the Sertoli cells is essential, we crossed hypogonadal (hpg) mice that lack gonadotrophins and intratesticular androgen with mice lacking ARs either ubiquitously (ARKO) or specifically on the Sertoli cells (SCARKO). These hpg.ARKO and hpg.SCARKO mice were treated with testosterone (T) or dihydrotestosterone (DHT) for 7 d and testicular morphology and cell numbers assessed. Androgen treatment did not affect Sertoli cell numbers in any animal group. Both T and DHT increased numbers of spermatogonia and spermatocytes in hpg mice, but DHT has no effect on germ cell numbers in hpg.SCARKO and hpg.ARKO mice. T increased germ cell numbers in hpg.SCARKO and hpg.ARKO mice, but this was associated with stimulation of FSH release. Results show that androgen stimulation of spermatogenesis requires direct androgen action on the Sertoli cells.
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Portman, Michael A., Kun Qian, Julia Krueger, and Xue-Han Ning. "Direct action of T3on phosphorylation potential in the sheep heart in vivo." American Journal of Physiology-Heart and Circulatory Physiology 288, no. 5 (May 2005): H2484—H2490. http://dx.doi.org/10.1152/ajpheart.00848.2004.
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Thyroid acting through ligand binding to nuclear receptors modifies myocardial respiratory kinetics and oxidative phosphorylation in the heart. Direct nongenomic action of thyroid hormone on high-energy phosphate concentrations and respiratory kinetics has never been proven in vivo but might be responsible for observed changes in oxygen utilization efficiency immediately after triiodothyronine (T3) administration. We tested the hypothesis that T3directly and rapidly modifies myocardial high-energy phosphate concentrations and phosphorylation potential in vivo. Anesthetized sheep (age 28–40 days) thyroidectomized shortly after birth (Thy) and euthyroid age-matched controls (Con) underwent median sternotomy and received T3infusion (0.8 μg/kg), followed by epinephrine infusion to increase myocardial oxygen consumption (MV̇o2).31P magnetic resonance spectra were monitored via a surface coil over the left ventricle. T3increased phosphocreatine (PCr)/ATP and decreased ADP in Thy animals without causing a change in MV̇o2. T3produced no changes in high-energy phosphates in Con animals. T3did not modify the PCr/ATP or ADP response to epinephrine and elevation in MV̇o2in either group. Cardiac mitochondria isolated from Thy and Con animals showed no change in respiratory rate or ADP/ATP exchange efficiency after T3incubation. T3infusion in a hypothyroid state decreases ADP concentration, thereby altering the equilibrium between phosphorylation potential and myocardial respiratory rate. These T3-induced effects are not due to changes in ADP/ATP exchange efficiency through action at the adenine nucleotide translocator but may be due to T3mediation of substrate utilization, confirmed in other models.
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Byamba, Dashlkhumbe, Do-Young Kim, Chimidtseren Soodoi, Enkhtur Yadamsuren, Ariunaa Munkhbayar, Nandintsetseg Batbayar, Dashkhajidmaa Dashdondov, Oyuntsatsral Batsaikhan, Batbaatar Gunchin, and Min-Geol Lee. "Therapeutic Mode of Action of Methotrexate." Central Asian Journal of Medical Sciences 2, no. 1 (June 25, 2016): 83–90. http://dx.doi.org/10.24079/cajms.2016.01.013.
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Objectives: Methotrexate (MTX) has been used in clinical practice for over a half-century and its action mechanism is believed to rely on the direct inhibition of DNA synthesis leading to suppression of cell proliferation. However, its anti-inflammatory action mechanism is not fully explained. In some autoimmune or overactive immune-related diseases such as psoriasis, it has been demonstrated that interleukin (IL)-23/IL-17/lL-22 pathway plays a key role in disease pathogenesis. In this study, we aimed to investigate the suppressive action of MTX on the IL[1]23/1 L-17/1 L-22 pathway in psoriasis. Methods: We made a model of psoriasis on mice using imiquimod (IMQ). The mice were divided into three groups: disease-free control group and disease-induced groups with no treatment and MTX-treatment. Clinical, histological and immunological parameters were evaluated among the groups. Results: Treatment with MTX decreased the psoriatic skin changes and the histological alterations induced by IMQ. MTX exerted its treatment effects via inhibition of the main players in the pathogenetic axis, the IL-23, IL-17A, F and IL-22, that were found to be increased in the diseased mice. Regulatory T cells expressing CTLA4 or GITR or PD1 molecules on their surface were not related to these decrements. Conclusion: The therapeutic action mechanism of MTX is related to the direct inhibition of the IL-23/1 L-17/1 L-22 pathway, but not the induction of inhibitory molecules or expansion of regulatory T cells.
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Baikov, A. N., V. P. Shakhov, N. Yu Shelgaev, and V. A. Serebryakova. "Effect of Granotsit preparation on mesenchymal bone marrow stem cells in experimental model of secondary immune deficiency with the aid of cyclophosphan." Bulletin of Siberian Medicine 7, no. 3 (September 30, 2008): 5–8. http://dx.doi.org/10.20538/1682-0363-2008-3-5-8.
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Experiments with 60 male and female mice of Balb/c line with mass of 18—21 g have been carried out. All manipulations, including ether euthanasia, were performed within the framework of approved rules for experiments with experimental animals. The mice were divided into four groups each of 15 animals. The groups were injected with physiological salt solution (first group), cycliphosphan (second group), Granotsit preparation (recombinant granulocytic colony-stimulating factor) (third group), and cycliphosphan in Granotsit preparation (fourth group). We have studied the total number of leucocytes in blood, bone marrow cellularity, content of granulocytic- macrophage colony-forming cells and mesenchyma l precursors with the aid of tissue culture in vitro. It has been found that the Granotsit preparation can stimulate myelopoiesis (direct specific action) and mesenchymopo iesis (indirect action) in norm. When a cytostatic agent, the studied cytokine has a protective action on both myeloid and mesenchyma l precursors of bone marrow.
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Petriza, Narila, and Rifda Eliyasni. "Peningkatan Hasil Belajar Siswa Pada Pembelajaran Tematik Terpadu Menggunakan Model Kooperatif Tipe Group Investigasion di SD." e-Jurnal Inovasi Pembelajaran Sekolah Dasar 10, no. 1 (February 18, 2023): 1. http://dx.doi.org/10.24036/e-jipsd.v10i1.10175.
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The purpose of this study was to improve students' integrated thematic learning outcomes by using the cooperative group investigation type model. Integrated thematic learning is learning that uses themes as the main focus. This learning provides meaningful experiences to students because in integrated thematic learning students will understand the concepts they learn through direct and real experiences. This research method, using classroom action research methods. The research procedure is in the form of a cycle. Each cycle consists of four stages including: planning, implementing actions, observing, and reflecting. Data collecting techniques through observation and tests. This data collection uses an instrument in the form of student and teacher observation observation sheets in the learning process, while to determine the quality of student learning outcomes, evaluation / test sheets are used. The results showed that the use of the investigational group type cooperative model could improve students' integrated thematic learning outcomes. From the average value in the first cycle, 73.80% to 90.97% in the second cycle.
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Kumar, Dinesh. "Letter to Editor: Antioxidant Action of Phenols under Heavy Metal Stress." Journal of Phytopharmacology 1, no. 3 (December 25, 2012): 4–6. http://dx.doi.org/10.31254/phyto.2012.1302.
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The conception of antioxidant action of phenolic compounds is not novel. There have been many reports of induced accumulation of phenolic compounds and peroxidase activity in plants treated with high concentrations of metals.1 Antioxidant action of phenolic compounds is due to their high tendency to chelate metals. Phenolics possess hydroxyl and carboxyl groups, able to bind particularly iron and copper. The roots of many plants exposed to heavy metals exude high levels of phenolics. They may inactivate iron ions by chelating and additionally suppressing the superoxide-driven Fenton reaction, which is believed to be the most important source of ROS. Tannin-rich plants such as tea, which are tolerant to Mn excess, are protected by the direct chelatation of Mn. Direct chelation, or binding to polyphenols, was observed with methanol extracts of rhizome polyphenols from Nympheae for molecules, and the number and position of the hydroxyl group in the molecules. 2
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Polishchuk, Oleksandr Serhiyovych, and Olena Volodymyrivna Polishchuk. "Concept of Collective Action as the Value Background of Theory of Education." Filosofiya osvity. Philosophy of Education 19, no. 2 (December 23, 2016): 48–58. http://dx.doi.org/10.31874/2309-1606-2016-19-2-48-58.
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Some concepts of collective action have been examined. It is found that collective action is formed as a result of interaction of individuals within the group, collective etc. Such social environment in which collective action appears, is the educational process, which aims to provide protection, safety and educational needs of direct interaction between the preschool children and children of younger school age.
The forms of work: group and collective, have been analyzed. It is found that acting in a group or team, the participants of educational process gather around the common goal, collective action, that occurs, becomes the value in the process of achieving this goal. That is, it encourages the collective, group to act in the given direction. This action is accompanied by the interaction, due to which raises the phenomenology of collective, above- and beyond the individual.
It is based on the formation in the mind of each individual subject of communication the subjective model of the content and the process of interaction, which seems to be shared with other participants (the subject feels as if its co-author) and the presence of which can be displayed in the form of a general image of the subject of interaction that occurs in interpersonal space and fills it.
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Simonetta, Patrick. "Equivalence elementaire et decidabilite pour des structures du type groupe agissant sur un groupe abelien." Journal of Symbolic Logic 63, no. 4 (December 1998): 1255–85. http://dx.doi.org/10.2307/2586650.
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AbstractWe prove an Ax-Kochen-Ershov like transfer principle for groups acting on groups. The simplest case is the following: let B be a soluble group acting on an abelian group G so that G is a torsion-free divisible module over the group ring ℤ[B], then the theory of B determines the one of the two-sorted structure 〈G,B,*〉, where * is the action of B on C. More generally, we show a similar principle for structures 〈G,B,*〉, where G is a torsion-free divisible module over the quotient of ℤ[B] by the annulator of G.Two applications come immediately from this result:First, for not necessarily commutative domains, where we consider the action of a subgroup of the invertible elements on the additive group. We obtain then the decidability of a weakened structure of ring, with partial multiplication.The second application is to pure groups. The semi-direct product of G by B is bi-interpretable with our structure 〈G,B,*〉. Thus, we obtain stable decidable groups that are not linear over a field.
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SHIPMAN, BARBARA A. "ON THE FIXED-POINT SETS OF TORUS ACTIONS ON FLAG MANIFOLDS." Journal of Algebra and Its Applications 01, no. 03 (September 2002): 255–65. http://dx.doi.org/10.1142/s0219498802000161.
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This paper takes a detailed look at a subject that occurs in various contexts in mathematics, the fixed-point sets of torus actions on flag manifolds, and considers it from the (perhaps nontraditional) perspective of moment maps and length functions on Weyl groups. The approach comes from earlier work of the author where it is shown that certain singular flows in the Hamiltonian system known as the Toda lattice generate the action of a group A on a flag manifold, where A is a direct product of a non-maximal torus and unipotent group. As a first step in understanding the orbits of A in connection with the Toda lattice, this paper seeks to understand the fixed points of the non-maximal tori in this setting.
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Chuah, Meng-Kiat. "THE DIRECT INTEGRAL OF SOME WEIGHTED BERGMAN SPACES." Proceedings of the Edinburgh Mathematical Society 50, no. 1 (February 2007): 115–22. http://dx.doi.org/10.1017/s0013091505000453.
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AbstractLet $G$ be the abelian Lie group $\mathbb{R}^n\times\mathbb{R}^k/\mathbb{Z}^k$, acting on the complex space $X=\mathbb{R}^{n+k}\times\ri G$. Let $F$ be a strictly convex function on $\mathbb{R}^{n+k}$. Let $H$ be the Bergman space of holomorphic functions on $X$ which are square-integrable with respect to the weight $e^{-F}$. The $G$-action on $X$ leads to a unitary $G$-representation on the Hilbert space $H$. We study the irreducible representations which occur in $H$ by means of their direct integral. This problem is motivated by geometric quantization, which associates unitary representations with invariant Kähler forms. As an application, we construct a model in the sense that every irreducible $G$-representation occurs exactly once in $H$.
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Wang, Yuanbin, Xingwei Wang, and Bin Zhang. "Affine Differential Invariants of Functions on the Plane." Journal of Applied Mathematics 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/868725.
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A differential invariant is a function defined on the jet space of functions that remains the same under a group action. It is an important concept to solve the equivalence problem. This paper presents an effective method to derive a special type of affine differential invariants. Given some functions defined on the plane and an affine group acting on the plane, there are induced actions of the group on the functions and on the derivative functions of the functions. Affine differential invariants of these functions are useful in many applications. However, there has been little systematic study of this problem at present. No clear and simple results are available for application users to use directly. We propose a direct and simple method to construct affine differential invariants in this situation. Some useful explicit formulas of affine differential invariants of 2D functions are presented.
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Linares-Flores, Jesús, Bogdan García Rivera, Arturo Hernández-Méndez, José Juárez-Abad, and Antonio Orantes Molina. "Synchronization and Consensus of a Group of Direct Current Servo Motors Using the Differential Flatness Control Approach." Memorias del Congreso Nacional de Control Automático 6, no. 1 (October 27, 2023): 485–90. http://dx.doi.org/10.58571/cnca.amca.2023.065.
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This article deals with a differential flatness control leader-follower for a group of DC servo motors. Graph theory uses to design the form of connection and communication between servo motors. Each servo motor includes an integral action in its local control. In contrast, the input control law of the leader incorporates the speed desired reference trajectory, which will track each servo motor connected to the leader. The speed desired reference trajectory build employing a high-order Bezier polynomial-the experimental setup using the dSPACE equipment DS1104 model. The experimental results show the effectiveness and robustness of the synchronization and consensus of the control based on the differential flatness property for the group of DC servomotors.