Coxeter groups, symmetries, and rooted representations

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TitreCoxeter groups, symmetries, and rooted representations
Type de publicationJournal Article
Year of Publication2018
AuteursGeneste O, Paris L
JournalCOMMUNICATIONS IN ALGEBRA
Volume46
Pagination1996-2002
Type of ArticleArticle
ISSN0092-7872
Mots-clésCoxeter groups, linear representations, symmetries
Résumé

Let G be a group of symmetries of a Coxeter system (W,S), and let f:WGL(V) be the linear representation associated with a root basis (V,.,.,). We show that W-G is a Coxeter group, we construct a subset. In particular, the latter is faithful.

DOI10.1080/00927872.2017.1363221