Deformations of nilpotent cones and Springer correspondences
نویسنده
چکیده
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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DEFORMATIONS OF NILPOTENT CONES AND SPRINGER CORRESPONDENCES By SYU KATO Dedicated to the long-standing friendship of
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 sp2n 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. Introduction. Let ...
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