Structure Theorems for Bicomodule Algebras Over Quasi-Hopf Algebras,Weak Hopf Algebras,and Braided Hopf Algebras |
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| Authors: | Jeroen Dello Freddy Van Oystaeyen Yinhuo Zhang |
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| Institution: | 1. Department of Mathematics and Statistics, University of Hasselt, Diepenbeek, Belgium;2. Department of Mathematics and Computer Science, University of Antwerp, Antwerp, Belgium |
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| Abstract: | Let H be a quasi-Hopf algebra, a weak Hopf algebra, or a braided Hopf algebra. Let B be an H-bicomodule algebra such that there exists a morphism of H-bicomodule algebras v: H → B. Then we can define an object Bco(H), which is a left-left Yetter–Drinfeld module over H, having extra properties that allow to make a smash product Bco(H)#H, which is an H-bicomodule algebra, isomorphic to B. |
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| Keywords: | Bicomodule algebra Braided Hopf algebra Quasi-Hopf algebra Weak Hopf algebra Yetter–Drinfeld module |
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