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arxiv: 0801.3707 · v6 · pith:XLXRL2CUnew · submitted 2008-01-24 · 🧮 math.RT · math.AG

Deformations of nilpotent cones and Springer correspondences

classification 🧮 math.RT math.AG
keywords springercorrespondenceexoticnilpotentby-productcertaincharacteristiccomplete
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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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