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Is it possible to describe the action of the Weyl group on the cohomology of the fibers of t...

As a $W$ module, the cohomology of a fiber of the Grothendieck-Springer resolution over $g$ is isomorphic to the cohomology of the fiber of the Springer resolution over its nilpotent part $g_n$. Note …
Ben Webster's user avatar
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3 votes

counting points on nilpotent Springer fiber

It's proven in a paper of DeConcini, Lusztig and Procesi that in all types other than $E_7,E_8$, the Springer fibers all have polynomial point count (I'm probably assuming $p$ isn't too small here), w …
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1 vote
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Springer Action on Centre of Parabolic Category O (after Brundan)

David's comment is correct. This is proven in Section 3 of this paper of Stroppel: http://arxiv.org/abs/math.RT/0608234
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