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3
votes
Accepted
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 …
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 …
1
vote
Accepted
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