The representation theory of Brauer categories I: triangular categories
Representation Theory
2024-10-10 v2
Abstract
This is the first in a series of papers in which we study representations of the Brauer category and its allies. We define a general notion of triangular category that abstracts key properties of the triangular decomposition of a semisimple complex Lie algebra, and develop a highest weight theory for them. We show that the Brauer category, the partition category, and a number of related diagram categories admit this structure.
Keywords
Cite
@article{arxiv.2006.04328,
title = {The representation theory of Brauer categories I: triangular categories},
author = {Steven V Sam and Andrew Snowden},
journal= {arXiv preprint arXiv:2006.04328},
year = {2024}
}
Comments
53 pages