Shellability of noncrossing partition lattices
classification
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math.GR
keywords
latticesnoncrossingshellabilitytypeassociatedcase-freeel-shellableexceptional
read the original 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.
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