On maximal chains in the non-crossing partition lattice

Published 23 Jan 2012 in math.CO and math.GR | (1201.4669v3)

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.

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