Equidistribution of negative statistics and quotients of Coxeter groups of type B and D

被引：2
|
作者：
Biagioli, Riccardo [1 ]
机构：
[1] Univ Lyon 1, CNRS, UMR 5208, Inst Camille Jordan, F-69622 Villeurbanne, France
来源：
ADVANCES IN APPLIED MATHEMATICS | 2008年 / 41卷 / 03期
关键词：
Coxeter groups; Statistics; Major index; Descent number; Symmetric group; Generating functions; q-series;
D O I：
10.1016/j.aam.2008.03.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We generalize some identities and q-identities previously known for the symmetric group to Coxeter groups of type B and D. The extended results include theorems of Foata and Schutzenberger, Gessel, and Roselle on various distributions of statistics, like inversion number, major index, and descent number. In order to show our results we provide explicit characterizations of the systems of minimal coset representatives of Coxeter groups of type B and D. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：378 / 394
页数：17
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