English

Support varieties without the tensor product property

Quantum Algebra 2023-08-11 v1 K-Theory and Homology Representation Theory

Abstract

We show that over a perfect field, every non-semisimple finite tensor category with finitely generated cohomology embeds into a larger such category where the tensor product property does not hold for support varieties.

Keywords

Cite

@article{arxiv.2308.05687,
  title  = {Support varieties without the tensor product property},
  author = {Petter Andreas Bergh and Julia Yael Plavnik and Sarah Witherspoon},
  journal= {arXiv preprint arXiv:2308.05687},
  year   = {2023}
}

Comments

11 pages

R2 v1 2026-06-28T11:52:58.985Z