Shellability of noncrossing partition lattices

Christos A. Athanasiadis; Thomas Brady; Colum Watt

doi:10.1090/S0002-9939-06-08534-0

Shellability of noncrossing partition lattices

Christos A. Athanasiadis, Thomas Brady, Colum Watt

Research output: Contribution to journal › Article › peer-review

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 Dn and those of exceptional type and rank at least three.

Original language	English
Pages (from-to)	939-949
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	135
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-06-08534-0
Publication status	Published - Apr 2007

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title = "Shellability of noncrossing partition lattices",

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 Dn and those of exceptional type and rank at least three.",

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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Shellability of noncrossing partition lattices

Abstract

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