Results 11 to 20 of about 206 (146)
When weak Hopf algebras are Frobenius [PDF]
Proceedings of the American Mathematical Society, 2009 We investigate when a weak Hopf algebra H H is Frobenius. We show this is not always true, but it is true if the semisimple
Iovanov, Miodrag Cristian, Kadison, Lars
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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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Inner actions of weak Hopf algebras [PDF]
Journal of Algebra and Its Applications, 2017 Let [Formula: see text] be an associative ring and [Formula: see text] idempotent elements of [Formula: see text]. In this paper we introduce the notion of [Formula: see text]-invertibility for an element of [Formula: see text] and use it to define inner actions of weak Hopf algebras.
Bagio, Dirceu +2 more
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Symmetries of Algebras Captured by Actions of Weak Hopf Algebras
Algebras and Representation Theory, 2023 Abstract In this paper, we present a generalization of well-established results regarding symmetries of 𝕜-algebras, where 𝕜 is a field. Traditionally, for a 𝕜-algebra A, the group 𝕜-algebra automorphisms of A captures the symmetries of A via group actions.
Calderón, Fabio +3 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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Weak projections onto a braided Hopf algebra [PDF]
Journal of Algebra, 2007 We show that, under some mild conditions, a bialgebra in an abelian and coabelian braided monoidal category has a weak projection onto a formally smooth (as a coalgebra) sub-bialgebra with antipode; see Theorem 1.12. In the second part of the paper we prove that bialgebras with weak projections are cross product bialgebras; see Theorem 2.12.
ARDIZZONI, Alessandro +2 more
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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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On the Structure of Weak Hopf Algebras
Advances in Mathematics, 2002 Ams-latex, 21 ...
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Doi-hopf modules over weak hopf algebras [PDF]
Communications in Algebra, 2000 The theory of Doi-Hopf modules is generalized to Weak Hopf algebras.
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