Strictification of weakly equivariant Hopf algebras
Rings and Algebras
2012-05-07 v3 Quantum Algebra
Abstract
A weakly equivariant Hopf algebra is a Hopf algebra A with an action of a finite group G up to inner automorphisms. We show that each weakly equivariant Hopf algebra can be replaced by a Morita equivalent algebra B with a strict action of G and with a coalgebra structure that leads to a tensor equivalent representation category. However, the coproduct of this strictification cannot, in general, be chosen to be unital, so that a strictification of the G-action can only be found on a weak Hopf algebra B.
Keywords
Cite
@article{arxiv.1109.0236,
title = {Strictification of weakly equivariant Hopf algebras},
author = {Jennifer Maier and Thomas Nikolaus and Christoph Schweigert},
journal= {arXiv preprint arXiv:1109.0236},
year = {2012}
}
Comments
16 pages, typos corrected