Title

Geometric Satake, Springer correspondence and small representations

Document Type

Article

Publication Date

11-1-2013

Abstract

For a simply-connected simple algebraic group G over ℂ, we exhibit a subvariety of its affine Grassmannian that is closely related to the nilpotent cone of G, generalizing a well-known fact about GL . Using this variety, we construct a sheaf-theoretic functor that, when combined with the geometric Satake equivalence and the Springer correspondence, leads to a geometric explanation for a number of known facts (mostly due to Broer and Reeder) about small representations of the dual group. © 2013 Springer Basel. n

Publication Source (Journal or Book title)

Selecta Mathematica, New Series

First Page

949

Last Page

986

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