Deformations of nilpotent cones and Springer correspondences
Representation Theory
2011-09-21 v6 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.0801.3707,
title = {Deformations of nilpotent cones and Springer correspondences},
author = {Syu Kato},
journal= {arXiv preprint arXiv:0801.3707},
year = {2011}
}
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..