Monoidal abelian envelopes
Category Theory
2023-06-22 v2 Representation Theory
Abstract
We prove a constructive existence theorem for abelian envelopes of non-abelian monoidal categories. This establishes a new tool for the construction of tensor categories. As an example we obtain new proofs for the existence of several universal tensor categories as conjectured by Deligne. Another example constructs tensor categories in positive characteristic via tilting modules for SL(2).
Cite
@article{arxiv.2003.10105,
title = {Monoidal abelian envelopes},
author = {Kevin Coulembier},
journal= {arXiv preprint arXiv:2003.10105},
year = {2023}
}