On maximal chains in the non-crossing partition lattice

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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 languageEnglish
Pages (from-to)18-46
Number of pages29
JournalJournal of Combinatorial Theory. Series A
Issue number1
StatePublished - Jul 2014


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


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