Results 21 to 30 of about 12,517 (163)
Cohomology of algebras over weak Hopf algebras [PDF]
Homology, Homotopy and Applications, 2014 In this paper we present the Sweedler cohomology for a cocommutative weak Hopf algebra H. We show that the second cohomology group classifies completely the weak crossed products, having a common preunit, of H with a commutative left H-module algebra A.
Álvarez, J. N. Alonso +2 more
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Yetter-Drinfel'd algebras and coideals of Weak Hopf C^*-Algebras
Theory and Applications of Categories, 2021 We characterize braided commutative Yetter-Drinfeld $C^*$-algebras over weak Hopf $C^*$-algebras in categorical terms. Using this, we then study quotient type coideal subalgebras of a given weak Hopf $C^*$-algebra $\mathcal G$ and coideal subalgebras invariant with respect to the adjoint action of $\mathcal G$.
Vainerman, Leonid, Vallin, Jean-Michel
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Partial actions of weak Hopf algebras on coalgebras [PDF]
Journal of Algebra and Its Applications, 2020 In this work, the notions of a partial action of a weak Hopf algebra on a coalgebra and of a partial action of a groupoid on a coalgebra will be introduced, together with some important properties. An equivalence between these notions will be presented. Finally, a dual relation between the structures of a partial action on a coalgebra and of a partial
Fontes, Eneilson +2 more
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Classifying (weak) coideal subalgebras of weak Hopf C⁎-algebras
Journal of Algebra, 2020 We develop a general approach to the problem of classification of weak coideal C*-subalgebras of weak Hopf C*-algebras. As an example, we consider weak Hopf C*-algebras and their weak coideal C*-subalgebras associated with Tambara Yamagami categories.
Vainerman, Leonid, Vallin, Jean-Michel
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Journal of Algebra, 2004 Ams-latex, 24 pages, an error in Proposition 3.4.2 is ...
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Frobenius Extensions and Weak Hopf Algebras
Journal of Algebra, 2001 We study a symmetric Markov extension of k-algebras N \into M, a certain kind of Frobenius extension with conditional expectation that is tracial on the centralizer and dual bases with a separability property. We place a depth two condition on this extension, which is essentially the requirement that the Jones tower N \into M \into M_1 \into M_2 can be
Kadison, Lars, Nikshych, Dmitri
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Rota-Baxter Leibniz Algebras and Their Constructions
Advances in Mathematical Physics, 2018 In this paper, we introduce the concept of Rota-Baxter Leibniz algebras and explore two characterizations of Rota-Baxter Leibniz algebras. And we construct a number of Rota-Baxter Leibniz algebras from Leibniz algebras and associative algebras and ...
Liangyun Zhang, Linhan Li, Huihui Zheng
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Cohomological obstructions and weak crossed products over weak Hopf algebras
Journal of Algebra, 2022 Let $H$ be a cocommutative weak Hopf algebra and let $(B, \varphi_{B})$ a weak left $H$-module algebra. In this paper, for a twisted convolution invertible morphism $\sigma:H\otimes H\rightarrow B$ we define its obstruction $\theta_{\sigma}$ as a degree three Sweedler 3-cocycle with values in the center of $B$.
Ramón González Rodríguez +1 more
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, 2016 We introduce Hopf categories enriched over braided monoidal categories. The notion is linked to several recently developed notions in Hopf algebra theory, such as Hopf group (co)algebras, weak Hopf algebras and duoidal categories.
A Bruguières +27 more
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Weak Hopf algebras corresponding to Uq[sln] [PDF]
Journal of Mathematical Physics, 2003 We investigate the weak Hopf algebras of Li based on Uq[sln] and Sweedler’s finite dimensional example. We give weak Hopf algebra isomorphisms between the weak generalizations of Uq[sln] which are “upgraded” automorphisms of Uq[sln] and hence give a classification of these structures as weak Hopf algebras.
Aizawa, N, Isaac, PS
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