Coxeter systems for which the Brink-Howlett automaton is minimal
Group Theory
2018-11-19 v1
Abstract
In this article we classify the Coxeter systems for which the Brink-Howlett automaton is minimal. We show that this automaton is minimal if and only if each elementary root is supported on a standard spherical subsystem, thereby resolving a conjecture of Hohlweg, Nadeau and Williams.
Cite
@article{arxiv.1811.06759,
title = {Coxeter systems for which the Brink-Howlett automaton is minimal},
author = {James Parkinson and Yeeka Yau},
journal= {arXiv preprint arXiv:1811.06759},
year = {2018}
}