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Relevant bibliographies by topics / Representations of groups

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Academic literature on the topic 'Representations of groups'

Author: Grafiati

Published: 4 June 2021

Last updated: 28 July 2024

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Journal articles on the topic "Representations of groups"

1

Jakubík, Ján, and Gabriela Pringerová. "Representations of cyclically ordered groups." Časopis pro pěstování matematiky 113, no. 2 (1988): 184–96. http://dx.doi.org/10.21136/cpm.1988.118342.

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ZHENG, H. "A REFLEXIVE REPRESENTATION OF BRAID GROUPS." Journal of Knot Theory and Its Ramifications 14, no. 04 (June 2005): 467–77. http://dx.doi.org/10.1142/s0218216505003877.

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In this paper, for every positive integer m, we define a representation ξn,m of the n-strand braid group Bn over a free ℤBn+m-module. It not only provides an approach to construct new representations of braid groups, but also gives a new perspective to the homological representations such as the Lawrence–Krammer representation.

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Milnes, Paul. "Representations of Compact Right Topological Groups." Canadian Mathematical Bulletin 36, no. 3 (September 1, 1993): 314–23. http://dx.doi.org/10.4153/cmb-1993-044-1.

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AbstractCompact right topological groups arise naturally as the enveloping semigroups of distal flows. Recently, John Pym and the author established the existence of Haar measure μ on such groups, which invites the consideration of the regular representations. We start here by characterizing the continuous representations of a compact right topological group G, and are led to the conclusion that the right regular representation r is not continuous (unless G is topological). The domain of the left regular representation l is generally taken to be the topological centreor a tractable subgroup of it, furnished with a topology stronger than the relative topology from G (the goals being to have l both defined and continuous). An analysis of l and r on H = L2(G) for some non-topological compact right topological groups G shows, among other things, that: (i)for the simplest (perhaps) G generated by ℤ, (l, H) decomposes into one copy of each irreducible representation of ℤ and c copies of the regular representation.(ii)for the simplest (perhaps) G generated by the euclidean group of the plane , (l, H) decomposes into one copy of each of the continuous one-dimensional representations of and c copies of each continuous irreducible representation Ua,a > 0.(iii)when Λ(G) is not dense in G, it can seem very reasonable to regard r as a continuous representation of a related compact topological group, and also, G can be almost completely "lost" in the measure space (G, μ).

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BIGELOW, STEPHEN, and JIANJUN PAUL TIAN. "GENERALIZED LONG-MOODY REPRESENTATIONS OF BRAID GROUPS." Communications in Contemporary Mathematics 10, supp01 (November 2008): 1093–102. http://dx.doi.org/10.1142/s0219199708003186.

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Long and Moody give a method of constructing representations of the braid groups Bn. We discuss some ways to generalize their construction. One of these gives representations of subgroups of Bn, including the Gassner representation of the pure braid group as a special case. Another gives representations of the Hecke algebra.

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EGEA, CLAUDIA MARÍA, and ESTHER GALINA. "SELF-ADJOINT REPRESENTATIONS OF BRAID GROUPS." Journal of Knot Theory and Its Ramifications 21, no. 03 (March 2012): 1250009. http://dx.doi.org/10.1142/s0218216511009819.

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We give a method to construct new self-adjoint representations of 𝔹n of finite dimension. In particular, we give a family of irreducible self-adjoint representations of dimension arbitrarily large. Moreover we give sufficient condition for a representation to be constructed with this method.

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LIVINGSTON, CHARLES. "LIFTING REPRESENTATIONS OF KNOT GROUPS." Journal of Knot Theory and Its Ramifications 04, no. 02 (June 1995): 225–34. http://dx.doi.org/10.1142/s0218216595000120.

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Given a representation of a classical knot group onto a quotient group E/A, we address the classification of lifts of that representation onto E. The classification is given first in terms of classical obstruction theory and then, in many cases, interpreted in terms of the homology of covers of the knot complement. Applications include the study of dihedral, metacyclic, and metabelian representations. Properties of the restrictions of lifts to the peripheral subgroup are also studied.

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Zhou, Jian. "Representation Rings of Classical Groups and Hopf Algebras." International Journal of Mathematics 14, no. 05 (July 2003): 461–77. http://dx.doi.org/10.1142/s0129167x03001922.

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We prove a double coset formula for induced representations of compact Lie groups. We apply it to the representation rings of unitary and symplectic groups to obtain Hopf algebras. We also construct a Heisenberg algebra representation based on the restiction and induction of representations of unitary groups.

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Wagner, Wolfgang, and Maaris Raudsepp. "Representations in Intergroup Relations: Reflexivity, Meta-Representations, and Interobjectivity." RUDN Journal of Psychology and Pedagogics 18, no. 2 (December 15, 2021): 332–45. http://dx.doi.org/10.22363/2313-1683-2021-18-2-332-345.

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Social and cultural groups are characterised by shared systems of social objects and issues that constitute their objective reality and their members' identity. It is argued that interpersonal interactions within such groups require a system of comprehensive representations to enable concerted interaction between individuals. Comprehensive representations include bits and pieces of the interactant's representational constitution and potential values and behaviours to reduce possible friction in interactions. On a larger scale, the same is true in encounters, communication, and interaction between members of different cultural groups where interactants need to dispose of a rough knowledge of the other culture's relevant characteristics. This mutual knowledge is called meta-representations that complement the actors' own values and ways of thinking. This concept complements Social Representation Theory when applied to cross-cultural and inter-ethnic interactions.

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Scevenels, Dirk. "On decomposable pseudofree groups." International Journal of Mathematics and Mathematical Sciences 22, no. 3 (1999): 617–28. http://dx.doi.org/10.1155/s0161171299226178.

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An Abelian group is pseudofree of rankℓif it belongs to the extended genus ofℤℓ, i.e., its localization at every primepis isomorphic toℤpℓ. A pseudofree group can be studied through a sequence of rational matrices, the so-called sequential representation. Here, we use these sequential representations to study the relation between the product of extended genera of free Abelian groups and the extended genus of their direct sum. In particular, using sequential representations, we give a new proof of a result by Baer, stating that two direct sum decompositions into rank one groups of a completely decomposable pseudofree Abelian group are necessarily equivalent. On the other hand, sequential representations can also be used to exhibit examples of pseudofree groups having nonequivalent direct sum decompositions into indecomposable groups. However, since this cannot occur when using the notion of near-isomorphism rather than isomorphism, we conclude our work by giving a characterization of near-isomorphism for pseudofree groups in terms of their sequential representations.

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DE JEU, MARCEL, and MARTEN WORTEL. "POSITIVE REPRESENTATIONS OF FINITE GROUPS IN RIESZ SPACES." International Journal of Mathematics 23, no. 07 (June 27, 2012): 1250076. http://dx.doi.org/10.1142/s0129167x12500760.

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In this paper, which is part of a study of positive representations of locally compact groups in Banach lattices, we initiate the theory of positive representations of finite groups in Riesz spaces. If such a representation has only the zero subspace and possibly the space itself as invariant principal bands, then the space is Archimedean and finite-dimensional. Various notions of irreducibility of a positive representation are introduced and, for a finite group acting positively in a space with sufficiently many projections, these are shown to be equal. We describe the finite-dimensional positive Archimedean representations of a finite group and establish that, up to order equivalence, these are order direct sums, with unique multiplicities, of the order indecomposable positive representations naturally associated with transitive G-spaces. Character theory is shown to break down for positive representations. Induction and systems of imprimitivity are introduced in an ordered context, where the multiplicity formulation of Frobenius reciprocity turns out not to hold.

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Dissertations / Theses on the topic "Representations of groups"

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Andrus, Ivan B. "Matrix Representations of Automorphism Groups of Free Groups." Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd856.pdf.

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Hannesson, Sigurdur. "Representations of symmetric groups." Thesis, University of Oxford, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.442464.

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Stavis, Andreas. "Representations of finite groups." Thesis, Karlstads universitet, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-69642.

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Representation theory is concerned with the ways of writing elements of abstract algebraic structures as linear transformations of vector spaces. Typical structures amenable to representation theory are groups, associative algebras and Lie algebras. In this thesis we study linear representations of finite groups. The study focuses on character theory and how character theory can be used to extract information from a group. Prior to that, concepts needed to treat character theory, and some of their ramifications, are investigated. The study is based on existing literature, with excessive use of examples to illuminate important aspects. An example treating a class of p-groups is also discussed.

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Kasouha, Abeir Mikhail. "Symmetric representations of elements of finite groups." CSUSB ScholarWorks, 2004. https://scholarworks.lib.csusb.edu/etd-project/2605.

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This thesis demonstrates an alternative, concise but informative, method for representing group elements, which will prove particularly useful for the sporadic groups. It explains the theory behind symmetric presentations, and describes the algorithm for working with elements represented in this manner.

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Scopes, Joanna. "Representations of the symmetric groups." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.279989.

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Lawrence, Ruth Jayne. "Homology representations of braid groups." Thesis, University of Oxford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.236125.

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Towers, Matthew John. "Modular representations of p-groups." Thesis, University of Oxford, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.427611.

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Can, Himmet. "Representations of complex reflection groups." Thesis, Aberystwyth University, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.289795.

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Cai, Yuanqing. "Theta representations on covering groups." Thesis, Boston College, 2017. http://hdl.handle.net/2345/bc-ir:107492.

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Thesis advisor: Solomon Friedberg
Kazhdan and Patterson constructed generalized theta representations on covers of general linear groups as multi-residues of the Borel Eisenstein series. For the double covers, these representations and their (degenerate-type) unique models were used by Bump and Ginzburg in the Rankin-Selberg constructions of the symmetric square L-functions for GL(r). In this thesis, we study two other types of models that the theta representations may support. We first discuss semi-Whittaker models, which generalize the models used in the work of Bump and Ginzburg. Secondly, we determine the unipotent orbits attached to theta functions, in the sense of Ginzburg. We also determine the covers for which these models are unique. We also describe briefly some applications of these unique models in Rankin-Selberg integrals for covering groups
Thesis (PhD) — Boston College, 2017
Submitted to: Boston College. Graduate School of Arts and Sciences
Discipline: Mathematics

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Wildon, Mark. "Modular representations of symmetric groups." Thesis, University of Oxford, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.403775.

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Books on the topic "Representations of groups"

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Jones, H. F. Groups, representations, and physics. Bristol, England: A. Hilger, 1990.

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Alperin, J. L., and Rowen B. Bell. Groups and Representations. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-0799-3.

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B, Bell Rowen, ed. Groups and representations. New York: Springer, 1995.

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1949-, Baldoni M. Welleda, Picardello Massimo A. 1949-, and European School of Group Theory (1993 : Trento, Italy), eds. Representations of Lie groups and quantum groups. Harlow, Essex, England: Longman Scientific & Technical, 1994.

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Bröcker, Theodor. Representations of compact Lie groups. New York: Springer-Verlag, 1985.

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Bröcker, Theodor. Representations of compact Lie groups. 2nd ed. New York: Springer, 1995.

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Ismagilov, R. S. Representations of infinite-dimensional groups. Providence, R.I: American Mathematical Society, 1996.

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Kovalev, O. V. Representations of the crystallographic space groups: Irreducible representations, induced representations, and corepresentations. 2nd ed. Yverdon, Switzerland: Gordon and Breach, 1993.

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1954-, Liebeck M. W., ed. Representations and characters of groups. 2nd ed. Cambridge, UK: Cambridge University Press, 2001.

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Aizenbud, Avraham, Dmitry Gourevitch, David Kazhdan, and Erez Lapid, eds. Representations of Reductive Groups. Providence, Rhode Island: American Mathematical Society, 2019. http://dx.doi.org/10.1090/pspum/101.

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Book chapters on the topic "Representations of groups"

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Alperin, J. L., and Rowen B. Bell. "Group Representations." In Groups and Representations, 137–77. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-0799-3_6.

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Sengupta, Ambar N. "Induced Representations." In Representing Finite Groups, 235–48. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-1231-1_8.

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Davidson, George. "Representations of groups." In Group theory for chemists, 39–51. London: Palgrave Macmillan UK, 1991. http://dx.doi.org/10.1007/978-1-349-21357-3_4.

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Kempf, George R. "Representations of Groups." In Algebraic Structures, 115–20. Wiesbaden: Vieweg+Teubner Verlag, 1995. http://dx.doi.org/10.1007/978-3-322-80278-1_12.

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Robinson, Derek J. S. "Representations of Groups." In A Course in the Theory of Groups, 213–51. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4419-8594-1_8.

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Berndt, Rolf. "Representations of groups." In Graduate Studies in Mathematics, 177–84. Providence, Rhode Island: American Mathematical Society, 2000. http://dx.doi.org/10.1090/gsm/026/10.

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Robinson, Derek J. S. "Representations of Groups." In A Course in the Theory of Groups, 206–44. New York, NY: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4684-0128-8_8.

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Jantzen, Jens. "Factor groups." In Representations of Algebraic Groups, 85–94. Providence, Rhode Island: American Mathematical Society, 2007. http://dx.doi.org/10.1090/surv/107/06.

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Jantzen, Jens. "Reductive groups." In Representations of Algebraic Groups, 153–73. Providence, Rhode Island: American Mathematical Society, 2007. http://dx.doi.org/10.1090/surv/107/11.

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Damnjanović, Milan, and Ivanka Milošsević. "Irreducible Representations." In Line Groups in Physics, 47–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11172-3_4.

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Conference papers on the topic "Representations of groups"

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Schmüdgen, K. "Commutator representations of covariant differential calculi." In Noncommutative Geometry and Quantum Groups. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc61-0-13.

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Babai, L., and L. Ronyai. "Computing irreducible representations of finite groups." In 30th Annual Symposium on Foundations of Computer Science. IEEE, 1989. http://dx.doi.org/10.1109/sfcs.1989.63461.

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MALININ, D. "ON INTEGRAL REPRESENTATIONS OF FINITE GROUPS." In Proceedings of the Conference. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814350051_0018.

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TIEP, PHAM HUU. "REPRESENTATIONS OF FINITE GROUPS AND APPLICATIONS." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0052.

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Venkataramana, T. N. "Cohomology of Arithmetic Groups and Representations." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0100.

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Rumynin, Dmitriy. "Kac-Moody Groups and Their Representations." In 3rd International Congress in Algebras and Combinatorics (ICAC2017). WORLD SCIENTIFIC, 2020. http://dx.doi.org/10.1142/9789811215476_0020.

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Cooperman, Gene, Larry Finkelstein, Bryant York, and Michael Tselman. "Constructing permutation representations for large matrix groups." In the international symposium. New York, New York, USA: ACM Press, 1994. http://dx.doi.org/10.1145/190347.190384.

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KASSEL, FANNY. "GEOMETRIC STRUCTURES AND REPRESENTATIONS OF DISCRETE GROUPS." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0090.

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DOBREV, V. K. "LECTURES ON QUANTUM GROUPS: REPRESENTATIONS AND DUALITY." In The Fifth Nankai Workshop. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814503761_0001.

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Cooperman, Gene, Larry Finkelstein, and Michael Tselman. "Computing with matrix groups using permutation representations." In the 1995 international symposium. New York, New York, USA: ACM Press, 1995. http://dx.doi.org/10.1145/220346.220379.

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Reports on the topic "Representations of groups"

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Hazelton, Keith. LDAP representations of membership in groups. Internet2, July 2005. http://dx.doi.org/10.26869/ti.111.1.

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Lyammouri, Rida. Central Mali: Armed Community Mobilization in Crisis. RESOLVE Network, November 2021. http://dx.doi.org/10.37805/cbags2021.4.

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The proliferation of community-based armed groups (CBAGs) in Mali’s Mopti and Ségou Regions has contributed to transforming Central Mali into a regional epicenter of conflict since 2016. Due to the lack of adequate presence of the state, certain vulnerable, conflict-affected communities resorted to embracing non-state armed groups as security umbrellas in the context of inter-communal violence. These local conflicts are the result of long-standing issues over increasing pressure on natural resources, climate shocks, competing economic lifestyles, nepotistic and exclusionary resource management practices, and the shifting representations of a segregated, historically constructed sense of ethnic identities in the region. This report untangles the legitimacy of armed groups, mobilizing factors, and the multi-level impact of violence implicating CBAGs. It further explores the relations amongst different actors, including the state, armed groups, and communities. The findings provide relevant insight for context-specific policy design toward conflict resolution and hybrid security governance.

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Knill, E. Group representations, error bases and quantum codes. Office of Scientific and Technical Information (OSTI), January 1996. http://dx.doi.org/10.2172/378680.

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Viña, Andrés. Quantization Operators and Invariants of Group Representations. GIQ, 2012. http://dx.doi.org/10.7546/giq-13-2012-265-277.

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Vina, Andres. Quantization Operators and Invariants of Group Representations. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-24-2011-89-102.

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Harries-Jenkins, Gwyn. Group Representation in European Armed Forces. Fort Belvoir, VA: Defense Technical Information Center, June 1995. http://dx.doi.org/10.21236/ada298618.

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Goldin, Gerald A., and David H. Sharp. Diffeomorphism Group Representations in Relativistic Quantum Field Theory. Office of Scientific and Technical Information (OSTI), December 2017. http://dx.doi.org/10.2172/1415360.

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Pease, R. A., and Todd M. Carrico. Object Model Working Group Core Plan Representation. Fort Belvoir, VA: Defense Technical Information Center, September 1996. http://dx.doi.org/10.21236/ada381216.

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McKinnon, Mark, Daniel Madryzkowksi, and Craig Weinschenk. Development of a Database of Contemporary Material Properties for Fire Investigation Analysis - Materials and Methods. UL Firefighter Safety Research Institute, July 2020. http://dx.doi.org/10.54206/102376/zmpa6638.

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Meetings with the majority of the Technical Panel for the Development of an Interactive Database of Contemporary Material Properties for Fire Modeling project were held on June 29 and June 30, 2020. The major subjects of discussion included the list of proposed materials to be tested and characterized, the properties for the database, and the experimental and analytical methods to determine the properties for the database. A list of 101 materials divided into 11 categories were identified for inclusion in the database. The topics of variability in materials and aging of products and furniture items was discussed and it was concluded that investigating these variations is outside the scope of the project in this phase. The list of properties to be stored in the database for each material as well as proposed experimental methods to determine each property were discussed in the Technical Panel meetings. The discussion emphasized that the priorities for the properties represented in the database are dependent on the expected users for the database. Three potential user groups and the sets of properties that each group would likely require were identified. To ensure that the data contained in the database is useful for modeling, it was determined that prioritization would be given to complete sets of properties to be measured and stored in the database. Over the course of the two meetings, several tools were proposed to make the database easier for model practitioners to use. Once such tool included functionality to output lines of code for the models or entire model input files to simplify the process of inserting the properties into computa- tional fire models. Another tool that was discussed would involve automatically extracting derived properties from data sets or translating between complex and simple representations of burning. The next phase of the project includes conducting research to finalize the structure of the database and finalizing experimental procedures and protocols to populate the database.

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Melnyk, Andriy. «INTELLECTUAL DARK WEB» AND PECULIARITIES OF PUBLIC DEBATE IN THE UNITED STATES. Ivan Franko National University of Lviv, March 2021. http://dx.doi.org/10.30970/vjo.2021.50.11113.

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The article focuses on the «Intellectual Dark Web», an informal group of scholars, publicists, and activists who openly opposed the identity politics, political correctness, and the dominance of leftist ideas in American intellectual life. The author examines the reasons for the emergence of this group, names the main representatives and finds that the existence of «dark intellectuals» is the evidence of important problems in US public discourse. The term «Intellectual Dark Web» was coined by businessman Eric Weinstein to describe those who openly opposed restrictions on freedom of speech by the state or certain groups on the grounds of avoiding discrimination and hate speech. Extensive discussion of the phenomenon of «dark intellectuals» began after the publication of Barry Weiss’s article «Meet the renegades from the «Intellectual Dark Web» in The New York Times in 2018. The author writes of «dark intellectuals» as an informal group of «rebellious thinkers, academic apostates, and media personalities» who felt isolated from traditional channels of communication and therefore built their own alternative platforms to discuss awkward topics that were often taboo in the mainstream media. One of the most prominent members of this group, Canadian clinical psychologist Jordan Peterson, publicly opposed the C-16 Act in September 2016, which the Canadian government aimed to implement initiatives that would prevent discrimination against transgender people. Peterson called it a direct interference with the right to freedom of speech and the introduction of state censorship. Other members of the group had a similar experience that their views were not accepted in the scientific or media sphere. The existence of the «Intellectual Dark Web» indicates the problem of political polarization and the reduction of the ability to find a compromise in the American intellectual sphere and in American society as a whole.

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