GENERALIZED INDUCTION OF KAZHDAN-LUSZTIG CELLS

被引:3
作者
Guilhot, Jeremie [1 ,2 ]
机构
[1] Univ Aberdeen, Univ London Kings Coll, Dept Math Sci, Aberdeen AB24 3UE, Scotland
[2] Univ Lyon 1, CNRS, UMR 5208, Inst Camille Jordan, F-69622 Villeurbanne, France
关键词
Coxeter groups; Affine Weyl groups; Hecke algebras; Kazhdan-Lusztig cells; Unequal parameters; AFFINE WEYL GROUPS; DECOMPOSITION;
D O I
10.5802/aif.2468
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Following Lusztig, we consider a Coxeter group W together with a weight function. Geck showed that the Kazhdan-Lusztig cells of W are compatible with parabolic subgroups. In this paper, we generalize this argument to some subsets of W which may not be parabolic subgroups. We obtain two applications: we show that under specific technical conditions on the parameters, the cells of certain parabolic subgroups of W are cells in the whole group, and we decompose the affine Weyl group of type G into left and two-sided cells for a whole class of weight functions.
引用
收藏
页码:1385 / 1412
页数:28
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