The homology of the Steinberg variety and Weyl group coinvariants

2007/04/13 by J. Matthew Douglass, Gerhard Roehrle, Douglass, J. Matthew +1 · 1 citation
Mathematics · #20F55 #20G05 #Algebraic Topology (math.AT) #FOS: Mathematics #Representation Theory (math.RT) #math.AT #math.RT #msc:20F55 #msc:20G05

paper · pdf · doi:10.48550/arxiv.0704.1717

17 pages, to appear in Documenta Math

arxiv created 2009/07/31 · arxiv updated 2009/12/01

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.

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