Presentations of diagram categories
Representation Theory
2019-12-11 v2 Category Theory
Abstract
We describe the planar rook category, the rook category, the rook-Brauer category, and the Motzkin category in terms of generators and relations. We show that the morphism spaces of these categories have linear bases given by planar rook diagrams, rook diagrams, rook-Brauer diagrams, and Motzkin diagrams.
Cite
@article{arxiv.1910.11784,
title = {Presentations of diagram categories},
author = {Mengwei Hu},
journal= {arXiv preprint arXiv:1910.11784},
year = {2019}
}
Comments
22 pages; typos corrected