The homology of the Steinberg variety and Weyl group coinvariants
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groupalgebrahomologysteinbergvarietyweylalgebraicborel-moore
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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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