Excedances of affine permutations

被引：4
|
作者：
Clark, Eric [1 ]
Ehrenborg, Richard [1 ]
机构：
[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA
来源：
ADVANCES IN APPLIED MATHEMATICS | 2011年 / 46卷 / 1-4期
基金：
美国国家科学基金会;
关键词：
Affine Weyl group of type A; Juggling sequences; Lattice point enumeration; Root polytope; Staircase triangulation; REPRESENTATIONS;
D O I：
10.1016/j.aam.2009.12.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce an excedance statistic for the group of affine permutations (G) over tilde (n) and determine the generating function of its distribution. The proof involves working with enumerating lattice points in a skew version of the root polytope of type A. We also show that the left coset representatives of the quotient (G) over tilde (n)/e(n) correspond to increasing juggling sequences and determine their Poincare series. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：175 / 191
页数：17
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