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.
| Original language | English |
|---|---|
| Pages (from-to) | 1-55 |
| Number of pages | 55 |
| Journal | Journal of Combinatorial Algebra |
| Volume | 8 |
| Issue number | 1/2 |
| DOIs | |
| Publication status | Published - Apr 2024 |
Keywords
- braided tensor categories
- braids
- Brauer categories
- diagram categories
- partition categories
- Presentations
- Temperley–Lieb categories
- tensor categories
- transformations
- vines