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Generalisations of the Tits representation
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Krammer, Daan (2008) Generalisations of the Tits representation. Electronic Journal of Combinatorics, Volume 15 (Number 1). Article number R134 . ISSN 1077-8926.
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Official URL: http://www.combinatorics.org/Volume_15/Abstracts/v...
Abstract
We construct a group K-n with properties similar to infinite Coxeter groups. In particular, it has a geometric representation featuring hyperplanes, simplicial chambers and a Tits cone. The generators of K-n are given by2-element subsets of {0, ..., n}. We provide some generalities to deal with groups like these. We give some easy combinatorial results on the finite residues of K-n, which are equivalent to certain simplicial real central hyperplane arrangements.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Coxeter groups, Group theory | ||||
Journal or Publication Title: | Electronic Journal of Combinatorics | ||||
Publisher: | Electronic Journal of Combinatorics | ||||
ISSN: | 1077-8926 | ||||
Official Date: | 20 October 2008 | ||||
Dates: |
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Volume: | Volume 15 | ||||
Number: | Number 1 | ||||
Number of Pages: | 28 | ||||
Article Number: | Article number R134 | ||||
Status: | Not Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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