Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Pure mathematics
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 $D_n$ and those of exceptional type and rank at least three.
DOI
https://doi.org/10.1090/S0002-9939-06-08534-0
Recommended Citation
Watt, C., Brady, T. & Athanasiadis, C. (2007). Shellability of Noncrossing Partition Lattices. Proceedings of the American Mathematical Society, vol. 135, no. 4, pg. 939--949. doi:10.1090/S0002-9939-06-08534-0
Publication Details
Proceedings of the American Mathematical Society, Volume 135, (2007), Issue number 4, pages 939--949.