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Conjugacy classes and straight elements in Coxeter groups

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Marquis, Timothée [UCL]

. As a byproduct of our methods, we also obtain a characterisation of straight elements of W, namely of those elements w∈W for which ℓ(wn)=nℓ(w) for any n∈Z. In particular, we generalise previous characterisations of straight elements within the class of so-called cyclically fully commutative (CFC) elements, and we give a shorter and more transparent proof that Coxeter elements are straight. © 2014 Elsevier Inc.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2014
Language Anglais
Journal information "Journal of Algebra" - Vol. 407, p. 68-40 (2014)
Peer reviewed yes
Publisher Academic Press
e-issn 1090-266X
issn 0021-8693
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Links
Bibliographic reference Marquis, Timothée. Conjugacy classes and straight elements in Coxeter groups. In: Journal of Algebra, Vol. 407, p. 68-40 (2014)
Permanent URL http://hdl.handle.net/2078.1/159551