Results 51 to 60 of about 680,985 (272)
International Journal of Mathematics and Mathematical Sciences, 2010 We introduce a class of noncommutative and noncocommutative weak Hopf algebras with infinite Ext quivers and study their structure. We decompose them into a direct sum of two algebras. The coalgebra structures of these weak Hopf algebras are described by
Dongming Cheng
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Hopf algebras and Tutte polynomials [PDF]
Advances in Applied Mathematics, 2015 By considering Tutte polynomials of Hopf algebras, we show how a Tutte polynomial can be canonically associated with combinatorial objects that have some notions of deletion and contraction.
T. Krajewski, Iain Moffatt, A. Tanasa
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On the monoidal invariance of the cohomological dimension of Hopf algebras
Comptes Rendus. Mathématique, 2022 We discuss the question of whether the global dimension is a monoidal invariant for Hopf algebras, in the sense that if two Hopf algebras have equivalent monoidal categories of comodules, then their global dimensions should be equal.
Bichon, Julien
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NOETHERIAN HOPF ALGEBRAS [PDF]
Glasgow Mathematical Journal, 2013 AbstractA brief survey of some aspects of noetherian Hopf algebras is given, concentrating on structure, homology, and classification, and accompanied by a panoply of open problems.
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BMS algebras in 4 and 3 dimensions, their quantum deformations and duals
Journal of High Energy Physics, 2021 BMS symmetry is a symmetry of asymptotically flat spacetimes in vicinity of the null boundary of spacetime and it is expected to play a fundamental role in physics.
Andrzej Borowiec +3 more
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Cuntz Semigroups of Compact-Type Hopf C*-Algebras
Axioms, 2017 The classical Cuntz semigroup has an important role in the study of C*-algebras, being one of the main invariants used to classify recalcitrant C*-algebras up to isomorphism.
Dan Kučerovský
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Finite Cartan Graphs Attached to Nichols Algebras of Diagonal Type
Advances in Mathematical Physics, 2021 Nichols algebras are fundamental objects in the construction of quantized enveloping algebras and in the classification of pointed Hopf algebras by the lifting method of Andruskiewitsch and Schneider. The structure of Cartan graphs can be attached to any
Chen Qian, Jing Wang
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Hopf algebras and the logarithm of the S-transform in free probability ― Extended abstract [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 This document is an extended abstract of the paper `Hopf algebras and the logarithm of the S-transform in free probability' in which we introduce a Hopf algebraic approach to the study of the operation $\boxtimes$ (free multiplicative convolution) from ...
Mitja Mastnak, Alexandru Nica
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Duality theory of $p$-adic Hopf algebras [PDF]
Categories and General Algebraic Structures with Applications, 2021 We show the monoidal functoriality of Schikhof duality, and cultivate new duality theory of $p$-adic Hopf algebras. Through the duality, we introduce two sorts of $p$-adic Pontryagin dualities.
Tomoki Mihara
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Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]
, 2015 In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie group structure on the character group with values in ...
Geir Bogfjellmo +2 more
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