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
Recommended Citation
Achar, P., & Henderson, A. (2013). Geometric Satake, Springer correspondence and small representations. Selecta Mathematica, New Series, 19 (4), 949-986. https://doi.org/10.1007/s00029-013-0125-7