Partial mirror symmetry I: reflection monoids
Group Theory
2007-11-07 v2 Combinatorics
Abstract
This is the first of a series of papers in which we initiate and develop the theory of reflection monoids, motivated by the theory of reflection groups. The main results identify a number of important inverse semigroups as reflection monoids, introduce new examples, and determine their orders.
Keywords
Cite
@article{arxiv.math/0701313,
title = {Partial mirror symmetry I: reflection monoids},
author = {Brent Everitt and John Fountain},
journal= {arXiv preprint arXiv:math/0701313},
year = {2007}
}
Comments
22 pages. A number of minor revisions and a rewrite of the section on the Renner monoids