Generalisations of the Tits representation

Details Generalisations of the Tits representation Generalisations of the Tits representation

2007-08-09

arxiv.org/abs/0708.1273v1

Mathematics

Combinatorics

21 pages, 6 figures

Scientific paper

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.

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