Cohomology of Pointed Finite Tensor Categories
Quantum Algebra
2026-02-10 v2 Representation Theory
Abstract
We consider the finite generation property for cohomology algebra of pointed finite tensor categories via de-equivariantization and exact sequence of finite tensor categories. As a result, we prove that all coradically graded pointed finite tensor categories over abelian groups have finitely generated cohomology.
Keywords
Cite
@article{arxiv.2410.09549,
title = {Cohomology of Pointed Finite Tensor Categories},
author = {Bowen Li and Gongxiang Liu},
journal= {arXiv preprint arXiv:2410.09549},
year = {2026}
}
Comments
11 pages, comments welcome