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Sep 24, 2015 at 17:51 comment added Yellow Pig Thank you very much! I would be very grateful if you could also give me a hint, a suggestion, or a reference to help me find (in a computable way) the grading on the induced representation $Ind_{W_L}^W$ (where $L$ is the Levi subgroup defining the type of the nilpotent $g_n$) which is the cohomology of the Grothendieck-Springer fiber over $g$. I need this grading because I need to find (say in the example of ${\mathfrak s \mathfrak l}_4$) the dimensions of the cohomology groups of the stalks of each simple perverse sheaf which is a summand of the Grothendieck-Springer sheaf in type A.
Sep 24, 2015 at 12:29 vote accept Yellow Pig
Sep 24, 2015 at 12:22 history answered Ben Webster CC BY-SA 3.0