On Reflection Representations of Coxeter Groups over Non-Commutative Rings
Representation Theory
2021-07-06 v1
Abstract
In this paper, we consider representations of Coxeter groups over a path algebra, R, defined by Dyer. We answer a question posed by Dyer about the multiplicative properties of R, showing that it is "almost a domain". We also show that R cam be embedded in a matrix ring over a free product of extension fields of the rational numbers and rings of Laurent polynomials.
Cite
@article{arxiv.2107.01530,
title = {On Reflection Representations of Coxeter Groups over Non-Commutative Rings},
author = {Annette Pilkingtonn},
journal= {arXiv preprint arXiv:2107.01530},
year = {2021}
}
Comments
28 pages