Minimal length elements in some double cosets of Coxeter groups |
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Authors: | Xuhua He |
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Institution: | Department of Mathematics, Stony Brook University, Stony Brook, NY 11794, USA |
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Abstract: | 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 M. Geck, S. Kim, G. Pfeiffer, Minimal length elements in twisted conjugacy classes of finite Coxeter groups, J. Algebra 229 (2) (2000) 570-600]. |
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Keywords: | 20F55 20G99 |
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