Monoidal abelian envelopes and a conjecture of Benson--Etingof

Kevin Coulembier, Inna Entova-Aizenbud, Thorsten Heidersdorf

Research output: Working paper/PreprintPreprint

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Abstract

We give several criteria to decide whether a given tensor category is the abelian envelope of a fixed symmetric monoidal category. Benson and Etingof conjectured that a certain limit of finite symmetric tensor categories is tensor equivalent to the finite dimensional representations of $SL_2$ in characteristic $2$. We use our results on the abelian envelopes to prove this conjecture.
Original languageEnglish GB
StatePublished - 2019

Publication series

NameArxiv preprint

Keywords

  • Mathematics - Representation Theory
  • Mathematics - Category Theory

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