Minimal length elements in some double cosets of Coxeter groups

Details Minimal length elements in some double cosets of Coxeter groups Minimal length elements in some double cosets of Coxeter groups

2006-11-02

arxiv.org/abs/math/0611055v1

Mathematics

Representation Theory

35 pages

Scientific paper

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}.

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