Generalized diagram categories and monoids, and their representations
Representation Theory
2025-12-22 v1 Combinatorics
Group Theory
Abstract
Classical diagram categories and monoids, including the Temperley--Lieb, Brauer, and partition cases, arise as special instances of the category of two dimensional cobordisms and admit additional twists that produce a large new family of diagram categories and monoids. In this paper we introduce this family and develop a unified approach to their representation theory.
Cite
@article{arxiv.2512.17177,
title = {Generalized diagram categories and monoids, and their representations},
author = {Matthias Fresacher and Willow Stewart and Daniel Tubbenhauer},
journal= {arXiv preprint arXiv:2512.17177},
year = {2025}
}
Comments
45 pages, many figures, comments welcome