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Structure theorems for bicomodule algebras over quasi-Hopf algebras, weak Hopf algebras and braided Hopf algebras (1310.4680v1)
Published 17 Oct 2013 in math.QA
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.