Title of article
On maximal chains in the non-crossing partition lattice
Author/Authors
Adin، نويسنده , , Ron M. and Roichman، نويسنده , , Yuval، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2014
Pages
29
From page
18
To page
46
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
Coxeter group , symmetric group , Reduced word , 0-Hecke algebra , Weak Order , Radius , Catalan number , Hurwitz action
Journal title
Journal of Combinatorial Theory Series A
Serial Year
2014
Journal title
Journal of Combinatorial Theory Series A
Record number
1532012
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