On rigidity of abstract root systems of Coxeter systems
Group Theory
2010-11-11 v1 Representation Theory
Abstract
We introduce and study a combinatorially defined notion of root basis of a (real) root system of a possibly infinite Coxeter group. Known results on conjugacy up to sign of root bases of certain irreducible finite rank real root systems are extended to abstract root bases, to a larger class of real root systems, and, with a short list of (genuine) exceptions, to infinite rank irreducible Coxeter systems.
Cite
@article{arxiv.1011.2270,
title = {On rigidity of abstract root systems of Coxeter systems},
author = {Matthew Dyer},
journal= {arXiv preprint arXiv:1011.2270},
year = {2010}
}
Comments
34 pages