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arXiv · 1811.10528

Hopf algebra actions in tensor categories

Marcel Bischoff·Alexei Davydov
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Abstract

We prove that commutative algebras in braided tensor categories do not admit faithful Hopf algebra actions unless they come from group actions. We also show that a group action allows us to see the algebra as the regular algebra in the representation category of the acting group.

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Marcel Bischoff, Alexei Davydov. 2018-11-26. Hopf algebra actions in tensor categories. https://doi.org/10.1007/s00031-020-09560-w

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