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arXiv · 1310.4680

Structure theorems for bicomodule algebras over quasi-Hopf algebras, weak Hopf algebras and braided Hopf algebras

Jeroen Dello·Florin Panaite·Freddy Van Oystaeyen·Yinhuo Zhang
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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\rightarrow B. Then we can define an object B^{co(H)} which is a left-left Yetter-Drinfeld module over H, having extra properties that allow to make a smash product B^{co(H)}# H which is an H-bicomodule algebra, isomorphic to B.

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Jeroen Dello, Florin Panaite, Freddy Van Oystaeyen, Yinhuo Zhang. 2013-10-17. Structure theorems for bicomodule algebras over quasi-Hopf algebras, weak Hopf algebras and braided Hopf algebras. https://arxiv.org/abs/1310.4680

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