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arXiv · 1011.4802

A monoidal structure on the category of relative Hopf modules

D. Bulacu·S. Caenepeel
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Abstract

Let $B$ be a bialgebra, and $A$ a left $B$-comodule algebra in a braided monoidal category $\Cc$, and assume that $A$ is also a coalgebra, with a not-necessarily associative or unital left $B$-action. Then we can define a right $A$-action on the tensor product of two relative Hopf modules, and this defines a monoidal structure on the category of relative Hopf modules if and only if $A$ is a bialgebra in the category of left Yetter-Drinfeld modules over $B$. Some examples are given.

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D. Bulacu, S. Caenepeel. 2010-11-22. A monoidal structure on the category of relative Hopf modules. https://arxiv.org/abs/1011.4802

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