Hopf algebra actions in tensor categories
arXiv:1811.10528 · doi:10.1007/s00031-020-09560-w
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.
8pages, several figures. v2 minor changes. As sent for publication to Transformation Groups