Shellability of noncrossing partition lattices
Combinatorics
2007-05-23 v1 Group Theory
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.
Keywords
Cite
@article{arxiv.math/0503007,
title = {Shellability of noncrossing partition lattices},
author = {Christos A. Athanasiadis and Thomas Brady and Colum Watt},
journal= {arXiv preprint arXiv:math/0503007},
year = {2007}
}
Comments
10 pages