Equivariant fusion subcategories
Quantum Algebra
2022-01-13 v2 Representation Theory
Abstract
We provide a parameterization of all fusion subcategories of the equivariantization by a group action on a fusion category. As applications, we classify the Hopf subalgebras of a family of semisimple Hopf algebras of Kac-Paljutkin type and recover Naidu-Nikshych-Witherspoon classification of the fusion subcategories of the representation category of a twisted quantum double of a finite group.
Cite
@article{arxiv.2111.09116,
title = {Equivariant fusion subcategories},
author = {César Galindo and Corey Jones},
journal= {arXiv preprint arXiv:2111.09116},
year = {2022}
}
Comments
15 pages