Pointed finite tensor categories over abelian groups
Quantum Algebra
2017-11-16 v1 Category Theory
Abstract
We give a characterization of finite pointed tensor categories obtained as de-equivariantizations of finite-dimensional pointed Hopf algebras over abelian groups only in terms of the (cohomology class of the) associator of the pointed part. As an application we prove that every coradically graded pointed finite braided tensor category is a de-equivariantization of a finite dimensional pointed Hopf algebras over an abelian group.
Cite
@article{arxiv.1707.05230,
title = {Pointed finite tensor categories over abelian groups},
author = {Iván Angiono and César Galindo},
journal= {arXiv preprint arXiv:1707.05230},
year = {2017}
}
Comments
16 pages