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Shellability of noncrossing partition lattices |
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| Authors: | Christos A. Athanasiadis Thomas Brady Colum Watt |
| Affiliation: | Department of Mathematics, University of Crete, 71409 Heraklion, Crete, Greece ; School of Mathematical Sciences, Dublin City University, Glasnevin, Dublin 9, Ireland ; School of Mathematics, Dublin Institute of Technology, Dublin 8, Ireland |
| 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: | Noncrossing partitions real reflection group partially ordered set shellability Coxeter element reflection ordering |
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