  Ehrenborg and Jung recently related the order complex for the lattice of
d-divisible partitions with the simplicial complex of pointed ordered set
partitions via a homotopy equivalence. The latter has top homology naturally
identified as a Specht module. Their work unifies that of Calderbank, Hanlon,
Robinson, and Wachs. By focusing on the underlying geometry, we strengthen and
extend these results from type A to all real reflection groups and the complex
reflection groups known as Shephard groups.
