Document Type

Article

Publication Date

1-1-2014

Abstract

We show that two Weyl group actions on the Springer sheaf with arbitrary coefficients, one defined by Fourier transform and one by restriction, agree up to a twist by the sign character. This generalizes a familiar result from the setting of l-adic cohomology, making it applicable to modular representation theory. We use the Weyl group actions to define a Springer correspondence in this generality, and identify the zero weight spaces of small representations in terms of this Springer correspondence. © 2013 London Mathematical Society.

Publication Source (Journal or Book title)

Proceedings of the London Mathematical Society

First Page

1501

Last Page

1528

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