Hopf algebra actions in tensor categories
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.
 Publication:

arXiv eprints
 Pub Date:
 November 2018
 arXiv:
 arXiv:1811.10528
 Bibcode:
 2018arXiv181110528B
 Keywords:

 Mathematics  Quantum Algebra;
 Mathematical Physics;
 Mathematics  Category Theory
 EPrint:
 8pages, several figures