On maximal chains in the non-crossing partition lattice

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:125

Article

Adin, Ron M.¹  Roichman, Yuval¹ 

[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel

关键词: Coxeter group;    Symmetric group;    0-Hecke algebra;    Reduced word;    Weak order;    Radius;    Catalan number;    Hurwitz action;   

DOI  :  10.1016/j.jcta.2014.02.002

来源: Elsevier

【 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.

【 授权许可】

Free