On the cohomology of finite tensor categories
Quantum Algebra
2026-04-23 v1 K-Theory and Homology
Representation Theory
Abstract
It has been conjectured that finite tensor categories have finitely generated cohomology. We show that this is equivalent to finitely generated Hochschild cohomology for the endomorphism algebras of the projective generators.
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Cite
@article{arxiv.2604.20491,
title = {On the cohomology of finite tensor categories},
author = {Petter Andreas Bergh},
journal= {arXiv preprint arXiv:2604.20491},
year = {2026}
}
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9 pages