Presentations for tensor categories
Category Theory
2023-12-18 v2 Group Theory
Rings and Algebras
Abstract
We introduce new techniques for working with presentations for a large class of (strict) tensor categories. We then apply the general theory to obtain presentations for partition, Brauer and Temperley-Lieb categories, as well as several categories of (partial) braids, vines and mappings.
Cite
@article{arxiv.2005.01953,
title = {Presentations for tensor categories},
author = {James East},
journal= {arXiv preprint arXiv:2005.01953},
year = {2023}
}
Comments
V2: incorporates referee's report, to appear in J Comb Algebra, 35 pages, 14 figures, 2 tables. V1: 34 pages, 14 figures