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
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
Journal title :
Journal of Combinatorial Theory Series A
