Shellability of noncrossing partition lattices

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Open Access

1 April 2007

journal article
Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society

Vol. 135 (04) , 939
DOI:10.1090/s0002-9939-06-08534-0

Abstract

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 and those of exceptional type and rank at least three.

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