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HOPF ALGEBRA ACTIONS IN TENSOR CATEGORIES

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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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  1. Department of Mathematics, Ohio University, Athens, OH, 45701, USA

    M. BISCHOFF & A. DAVYDOV

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  1. M. BISCHOFF
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  2. A. DAVYDOV
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Correspondence to M. BISCHOFF.

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BISCHOFF, M., DAVYDOV, A. HOPF ALGEBRA ACTIONS IN TENSOR CATEGORIES. Transformation Groups 26, 69–80 (2021). https://doi.org/10.1007/s00031-020-09560-w

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