Support varieties without the tensor product property-Reference-Cited by-同舟云学术

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Support varieties without the tensor product property

Published:2024-04-22 Issue:6 Volume:56 Page:2150-2161
ISSN:0024-6093
Container-title:Bulletin of the London Mathematical Society
language:en
Short-container-title:Bulletin of London Math Soc

Author:

Bergh Petter Andreas¹,Plavnik Julia Yael²³,Witherspoon Sarah⁴

Affiliation:

1. Institutt for matematiske fag NTNU Trondheim Norway

2. Department of Mathematics Indiana University Bloomington Indiana USA

3. Fachbereich Mathematik Universität Hamburg Hamburg Germany

4. Department of Mathematics Texas A&M University College Station Texas USA

Abstract

AbstractWe 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.

Funder

Simons Foundation

National Science Foundation

Publisher

Wiley

Link

https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/blms.13048

Reference14 articles.

1. Examples of support varieties for Hopf algebras with noncommutative tensor products

2. Support varieties for finite tensor categories: Complexity, realization, and connectedness

3. P. A.Bergh J.Plavnik andS.Witherspoon Support varieties for finite tensor categories: the tensor product property arXiv:2306.16082 2023.

4. Progress in Mathematics;Deligne P.,1990

5. Categories Tensorielles

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