Minimal length elements in some double cosets of Coxeter groups

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We study the minimal length elements in some double cosets of Coxeter groups and use them to study Lusztig's $G$-stable pieces and the generalization of $G$-stable pieces introduced by Lu and Yakimov. We also use them to study the minimal length elements in a conjugacy class of a finite Coxeter group and prove a conjecture in \cite{GKP}.
35 pages

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Representation Theory, 20F55, 20G99

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http://salesiana.dossiersoluciones.com/handle/123456789/119118

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611055
 http://arxiv.org/abs/math/0611055

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arXiv