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arXiv · 0704.1717

The homology of the Steinberg variety and Weyl group coinvariants

J. Matthew Douglass·Gerhard Roehrle
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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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J. Matthew Douglass, Gerhard Roehrle. 2009-07-31. The homology of the Steinberg variety and Weyl group coinvariants. https://arxiv.org/abs/0704.1717

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