Deformations of nilpotent cones and Springer correspondences

Details Deformations of nilpotent cones and Springer correspondences Deformations of nilpotent cones and Springer correspondences

2008-01-24

arxiv.org/abs/0801.3707v6

Amer. J. Math. 133 no.2 519--553 (2011)

Mathematics

Representation Theory

v6. 30pp, fixed 7.8 2) and 10.3 (v5), corrected typos, changed affiliation, and added thanks to Midori, to appear in Amer. J.

Scientific paper

10.1353/ajm.2011.0014

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.

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