On rank one 2-representations of web categories
Representation Theory
2026-04-07 v3 Category Theory
Quantum Algebra
Abstract
We classify rank one 2-representations of SL2, GL2 and SO3 web categories. The classification is inspired by similar results about quantum groups, given by reducing the problem to the classification of bilinear and trilinear forms, and is formulated such that it can be adapted to other web categories.
Keywords
Cite
@article{arxiv.2307.00785,
title = {On rank one 2-representations of web categories},
author = {Daniel Tubbenhauer},
journal= {arXiv preprint arXiv:2307.00785},
year = {2026}
}
Comments
23 pages, many figures, revision, to appear in Algebr. Comb., comments welcome