Euler characteristic of the truncated order complex of generalized noncrossing partitions

被引：0

作者：

Armstrong, D. ^{[1
]}

Krattenthaler, C. ^{[2
]}

机构：

[1] Univ Miami, Dept Math, Coral Gables, FL 33146 USA

[2] Univ Vienna, Fak Math, A-1090 Vienna, Austria

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2009年 / 16卷 / 01期

关键词：

root systems; reflection groups; Coxeter groups; generalized non-crossing partitions; chain enumeration; Euler characteristics; Chu-Vandermonde summation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to complete the study, begun in the first author's PhD thesis, of the topology of the poset of generalized non crossing partitions associated to real reflection groups. In particular, we calculate the Euler characteristic of this poset with the maximal and minimal elements deleted. As we show, the result on the Euler characteristic extends to generalized non crossing partitions associated to well-generated complex reflection groups.

引用

页数：10

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