Mathematics > Quantum Algebra
[Submitted on 26 Nov 2018 (v1), last revised 29 May 2020 (this version, v2)]
Title:Hopf algebra actions in tensor categories
View PDFAbstract: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.
Submission history
From: Marcel Bischoff [view email][v1] Mon, 26 Nov 2018 17:36:56 UTC (9 KB)
[v2] Fri, 29 May 2020 15:05:28 UTC (14 KB)
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