On maximal chains in the non-crossing partition lattice

被引：6
|
作者：
Adin, Ron M. [1 ]
Roichman, Yuval [1 ]
机构：
[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 2014年 / 125卷
关键词：
Coxeter group; Symmetric group; 0-Hecke algebra; Reduced word; Weak order; Radius; Catalan number; Hurwitz action;
D O I：
10.1016/j.jcta.2014.02.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A weak order on the set of maximal chains of the non-crossing partition lattice is introduced and studied. A 0-Hecke algebra action is used to compute the radius of the graph on these chains in which two chains are adjacent if they differ in exactly one element. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：18 / 46
页数：29
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