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Minimal length elements in some double cosets of Coxeter groups

表示论 2007-05-23 v1

摘要

We study the minimal length elements in some double cosets of Coxeter groups and use them to study Lusztig's GG-stable pieces and the generalization of GG-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}.

关键词

引用

@article{arxiv.math/0611055,
  title  = {Minimal length elements in some double cosets of Coxeter groups},
  author = {Xuhua He},
  journal= {arXiv preprint arXiv:math/0611055},
  year   = {2007}
}

备注

35 pages