Shellability of noncrossing partition lattices

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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.
10 pages

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Combinatorics, Group Theory, 20F55

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http://salesiana.dossiersoluciones.com/handle/123456789/74352

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503007
 http://arxiv.org/abs/math/0503007

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arXiv