Reflection arrangements and ribbon representations

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.

Author dc:creator

• Miller, Alexander Rossi

Language dc:language.iso

en_US

Repository record dc:identifier.uri

http://purl.umn.edu/159853

OAI identifier oai:identifier

oai:conservancy.umn.edu:11299/159853