Diagrammatics for Coxeter groups and their braid groups
Representation Theory
2017-01-11 v2 Geometric Topology
Abstract
We give a monoidal presentation of Coxeter and braid 2-groups, in terms of decorated planar graphs. This presentation extends the Coxeter presentation. We deduce a simple criterion for a Coxeter group or braid group to act on a category.
Cite
@article{arxiv.1405.4928,
title = {Diagrammatics for Coxeter groups and their braid groups},
author = {Ben Elias and Geordie Williamson},
journal= {arXiv preprint arXiv:1405.4928},
year = {2017}
}
Comments
Many figures, best viewed in color. Minor updates. This version agrees with the published version