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HOMOLOGY OF THE STEINBERG VARIETY AND WEYL GROUP COINVARIANTS

By J. Matthew Douglass and Gerhard Röhrle

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

Year: 2009
OAI identifier: oai:CiteSeerX.psu:10.1.1.312.2597
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