Relevant bibliographies by topics / Bialgebroid

Academic literature on the topic 'Bialgebroid'

Author: Grafiati
Published: 10 December 2022
Last updated: 29 January 2023

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Journal articles on the topic "Bialgebroid"

1

Lang, Honglei, Yu Qiao, and Yanbin Yin. "On Lie bialgebroid crossed modules." International Journal of Mathematics 32, no. 04 (March 2021): 2150021. http://dx.doi.org/10.1142/s0129167x2150021x.

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We study Lie bialgebroid crossed modules which are pairs of Lie algebroid crossed modules in duality that canonically give rise to Lie bialgebroids. A one-one correspondence between such Lie bialgebroid crossed modules and co-quadratic Manin triples [Formula: see text] is established, where [Formula: see text] is a co-quadratic Lie algebroid and [Formula: see text] is a pair of transverse Dirac structures in [Formula: see text].
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2

XU, PING. "ON POISSON GROUPOIDS." International Journal of Mathematics 06, no. 01 (February 1995): 101–24. http://dx.doi.org/10.1142/s0129167x95000080.

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Some important properties of Poisson groupoids are discussed. In particular, we obtain a useful formula for the Poisson tensor of an arbitrary Poisson groupoid, which generalizes the well-known multiplicativity condition for Poisson groups. Morphisms between Poisson groupoids and between Lie bialgebroids are also discussed. In particular, for a special class of Lie bialgebroid morphisms, we give an explicit lifting construction. As an application, we prove that a Poisson group action on a Poisson manifold lifts to a Poisson action on its α-simply connected symplectic groupoid.
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3

Cariñena, José F., Janusz Grabowski, and Giuseppe Marmo. "Courant algebroid and Lie bialgebroid contractions." Journal of Physics A: Mathematical and General 37, no. 19 (April 28, 2004): 5189–202. http://dx.doi.org/10.1088/0305-4470/37/19/006.

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4

Kadison, Lars, and Kornél Szlachányi. "Bialgebroid actions on depth two extensions and duality." Advances in Mathematics 179, no. 1 (October 2003): 75–121. http://dx.doi.org/10.1016/s0001-8708(02)00028-2.

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5

Kosmann-Schwarzbach, Yvette. "The lie bialgebroid of a Poisson-Nijenhuis manifold." Letters in Mathematical Physics 38, no. 4 (December 1996): 421–28. http://dx.doi.org/10.1007/bf01815524.

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6

Ṣahin, Bayram, and Fulya Ṣahin. "Generalized almost para-contact manifolds." International Journal of Geometric Methods in Modern Physics 14, no. 10 (September 13, 2017): 1750147. http://dx.doi.org/10.1142/s021988781750147x.

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In this paper, we study generalized almost para-contact manifolds and obtain normality conditions in terms of classical tensor fields. We show that such manifolds naturally carry certain Lie bialgebroid/quasi-Lie algebroid structures on them and we relate these new generalized manifolds with classical almost para-contact manifolds. The paper contains several examples and a short review for relations between generalized geometry and string theory.
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ARDIZZONI, A., L. EL KAOUTIT, and C. MENINI. "CATEGORIES OF COMODULES AND CHAIN COMPLEXES OF MODULES." International Journal of Mathematics 23, no. 10 (October 2012): 1250109. http://dx.doi.org/10.1142/s0129167x12501091.

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Let [Formula: see text] denote the coendomorphism left R-bialgebroid associated to a left finitely generated and projective extension of rings R → A with identities. We show that the category of left comodules over an epimorphic image of [Formula: see text] is equivalent to the category of chain complexes of left R-modules. This equivalence is monoidal whenever R is commutative and A is an R-algebra. This is a generalization, using entirely new tools, of results by Pareigis and Tambara for chain complexes of vector spaces over fields. Our approach relies heavily on the noncommutative theory of Tannaka reconstruction, and the generalized faithfully flat descent for small additive categories, or rings with enough orthogonal idempotents.
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8

WANG, YONG, and GUANGQUAN GUO. "SMASH PRODUCTS, SEPARABLE EXTENSIONS AND A MORITA CONTEXT OVER HOPF ALGEBROIDS." Journal of Algebra and Its Applications 13, no. 04 (January 9, 2014): 1350124. http://dx.doi.org/10.1142/s0219498813501247.

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Let [Formula: see text] be a Hopf algebroid, and A a left [Formula: see text]-module algebra. This paper is concerned with the smash product algebra A#H over Hopf algebroids. In this paper, we investigate separable extensions for module algebras over Hopf algebroids. As an application, we obtain a Maschke-type theorem for A#H-modules over Hopf algebroids, which generalizes the corresponding result given by Cohen and Fischman in [Hopf algebra actions, J. Algebra100 (1986) 363–379]. Furthermore, based on the work of Kadison and Szlachányi in [Bialgebroid actions on depth two extensions and duality, Adv. Math.179 (2003) 75–121], we construct a Morita context connecting A#H and [Formula: see text] the invariant subalgebra of [Formula: see text] on A.
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9

Jurić, Tajron, Stjepan Meljanac, and Rina Štrajn. "Twists, realizations and Hopf algebroid structure of κ-deformed phase space." International Journal of Modern Physics A 29, no. 05 (February 18, 2014): 1450022. http://dx.doi.org/10.1142/s0217751x14500225.

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The quantum phase space described by Heisenberg algebra possesses undeformed Hopf algebroid structure. The κ-deformed phase space with noncommutative coordinates is realized in terms of undeformed quantum phase space. There are infinitely many such realizations related by similarity transformations. For a given realization, we construct corresponding coproducts of commutative coordinates and momenta (bialgebroid structure). The κ-deformed phase space has twisted Hopf algebroid structure. General method for the construction of twist operator (satisfying cocycle and normalization condition) corresponding to deformed coalgebra structure is presented. Specially, twist for natural realization (classical basis) of κ-Minkowski space–time is presented. The cocycle condition, κ-Poincaré algebra and R-matrix are discussed. Twist operators in arbitrary realizations are constructed from the twist in the given realization using similarity transformations. Some examples are presented. The important physical applications of twists, realizations, R-matrix and Hopf algebroid structure are discussed.
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10

Femić, Bojana. "Eilenberg–Watts Theorem for 2-categories and quasi-monoidal structures for module categories over bialgebroid categories." Journal of Pure and Applied Algebra 220, no. 9 (September 2016): 3156–81. http://dx.doi.org/10.1016/j.jpaa.2016.02.009.

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Books on the topic "Bialgebroid"

1

Vogt, Frank. Bialgebraic contexts. Aachen: Verlag Shaker, 1994.

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2

Kandasamy, W. B. Vasantha. Neutrosophic interval bialgebraic structures. Columbus, Ohio: Zip Publishing, 2011.

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3

Kandasamy, W. B. Vasantha. Bialgebraic Structures and Smarandache Bialgebraic Structures. American Research Press, 2002.

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Book chapters on the topic "Bialgebroid"

1

Böhm, Gabriella. "(Hopf) Bialgebroids." In Lecture Notes in Mathematics, 59–73. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-98137-6_5.

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2

Kosmann-Schwarzbach, Y. "Exact Gerstenhaber Algebras and Lie Bialgebroids." In Geometric and Algebraic Structures in Differential Equations, 153–65. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-009-0179-7_10.

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Kick, Marco. "Bialgebraic Modelling of Timed Processes." In Automata, Languages and Programming, 525–36. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-45465-9_45.

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Rot, Jurriaan, and Marcello Bonsangue. "Combining Bialgebraic Semantics and Equations." In Lecture Notes in Computer Science, 381–95. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54830-7_25.

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Madlener, Ken, Sjaak Smetsers, and Marko van Eekelen. "Modular Bialgebraic Semantics and Algebraic Laws." In Programming Languages, 46–60. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-40922-6_4.

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Schmid, Jürg. "Bialgebraic Contexts for Distributive Lattices – Revisited." In Formal Concept Analysis, 403–7. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/978-3-540-32262-7_28.

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Worthington, James. "A Bialgebraic Approach to Automata and Formal Language Theory." In Logical Foundations of Computer Science, 451–67. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-92687-0_31.

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Maldonado, Ana Paula, Luís Monteiro, and Markus Roggenbach. "Towards Bialgebraic Semantics for the Linear Time – Branching Time Spectrum." In Recent Trends in Algebraic Development Techniques, 209–25. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28412-0_14.

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Jacobs, Bart. "A Bialgebraic Review of Deterministic Automata, Regular Expressions and Languages." In Algebra, Meaning, and Computation, 375–404. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11780274_20.

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"Lie Bialgebroids." In General Theory of Lie Groupoids and Lie Algebroids, 446–72. Cambridge University Press, 2005. http://dx.doi.org/10.1017/cbo9781107325883.016.

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Conference papers on the topic "Bialgebroid"

1

Klin, Bartek. "Bialgebraic Operational Semantics and Modal Logic." In 22nd Annual IEEE Symposium on Logic in Computer Science (LICS 2007). IEEE, 2007. http://dx.doi.org/10.1109/lics.2007.13.

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