Generalisations of the Tits representation
Combinatorics
2007-08-10 v1
Abstract
We construct a group K_n with properties similar to infinite Coxeter groups. In particular, it has a geometric representation featuring hyperplanes and simplicial chambers. The generators of K_n are given by 2-element subsets of {0, .., n}. We give some easy combinatorial results on the finite residues of K_n.
Cite
@article{arxiv.0708.1273,
title = {Generalisations of the Tits representation},
author = {Daan Krammer},
journal= {arXiv preprint arXiv:0708.1273},
year = {2007}
}
Comments
21 pages, 6 figures