On maximal chains in the non-crossing partition lattice

Ron M. Adin; Yuval Roichman

doi:10.1016/j.jcta.2014.02.002

On maximal chains in the non-crossing partition lattice

Ron M. Adin, Yuval Roichman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	18-46
Number of pages	29
Journal	Journal of Combinatorial Theory. Series A
Volume	125
Issue number	1
DOIs	https://doi.org/10.1016/j.jcta.2014.02.002
State	Published - Jul 2014

Keywords

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

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10.1016/j.jcta.2014.02.002

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title = "On maximal chains in the non-crossing partition lattice",

abstract = "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.",

keywords = "0-Hecke algebra, Catalan number, Coxeter group, Hurwitz action, Radius, Reduced word, Symmetric group, Weak order",

author = "Adin, {Ron M.} and Yuval Roichman",

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KW - Hurwitz action

KW - Radius

KW - Reduced word

KW - Symmetric group

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On maximal chains in the non-crossing partition lattice

Abstract

Keywords

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