Presentations for tensor categories

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.

arXiv commentV2: incorporates referee's report, to appear in J Comb Algebra, 35 pages, 14 figures, 2 tables. V1: 34 pages, 14 figures