Results 121 to 130 of about 206 (146)
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Acta Mathematica Sinica, English Series, 2008
Selfdual locally finite graded Hopf algebras were introduced by \textit{H.-L. Huang, L. Li} and \textit{Y. Ye} [Commun. Algebra 33, No. 12, 4505-4514 (2005; Zbl 1087.16025)]. The aim of this paper is to generalize results about selfdual locally finite graded Hopf algebras and related topics to the context of weak Hopf algebras. By a weak Hopf algebras,
Ahmed, Munir, Li, Fang
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Selfdual locally finite graded Hopf algebras were introduced by \textit{H.-L. Huang, L. Li} and \textit{Y. Ye} [Commun. Algebra 33, No. 12, 4505-4514 (2005; Zbl 1087.16025)]. The aim of this paper is to generalize results about selfdual locally finite graded Hopf algebras and related topics to the context of weak Hopf algebras. By a weak Hopf algebras,
Ahmed, Munir, Li, Fang
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2011
The notion of a Hopf algebra was developed by algebraic topologists abstracting the work of H.Hopf on manifolds in 1941.In this paper, we mainly study a right twisted smash product A*H over weak Hopf algebras and investigate their properties.The concet of a right twisted smash product algebras over weak Hopf akgebras is constructed.
Yan Yan +4 more
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The notion of a Hopf algebra was developed by algebraic topologists abstracting the work of H.Hopf on manifolds in 1941.In this paper, we mainly study a right twisted smash product A*H over weak Hopf algebras and investigate their properties.The concet of a right twisted smash product algebras over weak Hopf akgebras is constructed.
Yan Yan +4 more
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The Structure of Hopf Algebras with a Weak Projection
Algebras and Representation Theory, 2000The author studies the structure of Hopf algebras that have a weak projection. Let \(H'\) be a Hopf subalgebra of the bialgebra \(H\) over a field \(k\). A map \(\pi\colon H\to H'\) is a weak (left) projection if \(\pi\) is a left \(H'\)-linear coalgebra map and \(\pi|_{H'}=\text{id}_{H'}\).
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Pseudotriangular weak Hopf algebras
Journal of Algebra and Its Applications, 2016In this paper, in looking for the weak Hopf algebraic counterpart of pseudosymmetric braidings, we introduce the concept of a pseudotriangular weak Hopf algebra, which is a quasitriangular weak Hopf algebra satisfying an extra condition. Then, we investigate the question, when a quasitriangular weak Hopf algebra is pseudotriangular.
Zhao, Xiaofan +2 more
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Indiana University Mathematics Journal, 2008
In this paper we give an introduction to the theory of weak braided Hopf algebras proposed as a braided version of weak Hopf algebras. Also, we obtain the fundamental theorem of Hopf modules for these algebraic structures.
J. N. Alonso Alvarez +2 more
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In this paper we give an introduction to the theory of weak braided Hopf algebras proposed as a braided version of weak Hopf algebras. Also, we obtain the fundamental theorem of Hopf modules for these algebraic structures.
J. N. Alonso Alvarez +2 more
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A maschke type theorem for weak Hopf algebras
Acta Mathematica Sinica, English Series, 2008Total integrals were introduced by \textit{Y. Doi} [Commun. Algebra 13, 2137-2159 (1985; Zbl 0576.16004)]. In this paper, the authors generalize Doi's results to weak Hopf algebras in symmetric monoidal categories admitting split idempotents. One of the results, Theorem 1.7, is the following: if \(H\) is a weak Hopf algebra and \(B\) is a right \(H ...
Alonso Álvarez, J. N. +3 more
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Transmutation theory of a coquasitriangular weak Hopf algebra
Frontiers of Mathematics in China, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Guohua, Chen, Quanguo, Zhu, Haixing
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S-Hopf Quivers and Semilattice Graded Weak Hopf Algebras
Algebra Colloquium, 2013The main work of this article is to give a construction of semilattice graded weak Hopf algebras via S-Hopf quivers, mainly based on the work of Cibils, Rosso, and Montgomery. This provides a class of non-commutative and non-cocommutative pointed semilattice graded weak Hopf algebras: they have the natural bases consisting of paths and the underlying ...
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Nichols algebras over weak Hopf algebras
Applied Mathematics-A Journal of Chinese Universities, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Quasi-Bicrossed Products of Weak Hopf Algebras
Acta Mathematica Sinica, English Series, 2004Bicrossed products are fundamental tools for constructing the quantum double of a Hopf algebra. The author studies quasi-bicrossed products which play a similar part for the quantum quasi-double of certain weak Hopf algebras. Conditions for quasi-bicrossed products to possess the structure of almost weak Hopf algebras are discussed, with the special ...
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