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arXiv:0801.3707 [math.RT]AbstractReferencesReviewsResources

Deformations of nilpotent cones and Springer correspondences

Syu Kato

Published 2008-01-24, updated 2010-04-23Version 6

Let G = Sp (2n) be the symplectic group over Z. We present a certain kind of deformation of the nilpotent cone of G with G-action. This enables us to make direct links between the Springer correspondence of sp_{2n} over C, that over characteristic two, and our exotic Springer correspondence. As a by-product, we obtain a complete description of our exotic Springer correspondence.

Comments: v6. 30pp, fixed 7.8 2) and 10.3 (v5), corrected typos, changed affiliation, and added thanks to Midori, to appear in Amer. J. Math..
Journal: Amer. J. Math. 133 no.2 519--553 (2011)
Categories: math.RT, math.AG
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