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

来源：

ANNALES DE L INSTITUT FOURIER | 2009年 / 59卷 / 04期

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

页码：1385 / 1412

页数：28

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