Proceedings of the American Mathematical Society · 2006 · 57 citations · 16 references
Natural SciencesMathematicsDiscrete MathematicsTopologyGroup TheoryCombinatorial LatticesNoncrossing PartitionsPartition Lattices
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.
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Y -systems and generalized associahedra
Sergey Fomin, Andre Zelevinsky · Annals of Mathematics · 2003 · 548 citations · Full text