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Shellability of noncrossing partition lattices
by
Christos A. Athanasiadis
University of Crete
Coauthors: Thomas Brady and Colum Watt
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 Dn and those of exceptional type and rank at least three.
Paper reference: arXiv:math.CO/0503007
Date received: March 1, 2005
Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqd-39.