• Media type: E-Article
  • Title: Shellability of Noncrossing Partition Lattices
  • Contributor: Athanasiadis, Christos A.; Brady, Thomas; Watt, Colum
  • Published: American Mathematical Society, 2007
  • Published in: Proceedings of the American Mathematical Society, 135 (2007) 4, Seite 939-949
  • Language: English
  • DOI: 10.1090/S0002-9939-06-08534-0
  • ISSN: 1088-6826; 0002-9939
  • Origination:
  • Footnote:
  • Description: <p>We give a case-free proof that the lattice of noncrossing partitions associated to any finite real reflection group is EL-shellable. Shellability of these lattices was open for the groups of type $D_{n}$ and those of exceptional type and rank at least three.</p>
  • Access State: Open Access