The homology of the Steinberg variety and Weyl group coinvariants

Details The homology of the Steinberg variety and Weyl group coinvariants The homology of the Steinberg variety and Weyl group coinvariants

2007-04-13

arxiv.org/abs/0704.1717v3

Mathematics

Representation Theory

17 pages, to appear in Documenta Math

Scientific paper

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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