paper

The homology of the Steinberg variety and Weyl group coinvariants

arXiv:0704.1717

Abstract

Let G be a complex, connected, reductive algebraic group with Weyl group W and Steinberg variety Z. We show that the graded Borel-Moore homology of Z is isomorphic to the smash product of the coinvariant algebra of W and the group algebra of W.

17 pages, to appear in Documenta Math