Geodesic
Homology of the Steinberg variety and Weyl group coinvariants
Documenta mathematica, Tome 14 (2009), pp. 339-357
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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.
DOI : 10.4171/dm/275
Classification : 20F55, 20G05
Mots-clés : Borel-Moore homology, Steinberg variety, coinvariant algebra, Weyl group 
@article{10_4171_dm_275,
     author = {J.M. Douglass and G. R\"ohrle},
     title = {Homology of the {Steinberg} variety and {Weyl} group coinvariants},
     journal = {Documenta mathematica},
     pages = {339--357},
     year = {2009},
     volume = {14},
     doi = {10.4171/dm/275},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/275/}
}
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J.M. Douglass; G. Röhrle. Homology of the Steinberg variety and Weyl group coinvariants. Documenta mathematica, Tome 14 (2009), pp. 339-357. doi: 10.4171/dm/275

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