2 papers
math.CO2005
Shellability of noncrossing partition lattices
Christos A. Athanasiadis, Thomas Brady, Colum Watt
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…
math.CO2005★ 18 cited
Lattices in finite real reflection groups
Thomas Brady, Colum Watt
For a finite real reflection group with Coxeter element we give a uniform proof that the closed interval, forms a lattice in the partial order on induced by re…