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arXiv:1810.01034 [math.RT]AbstractReferencesReviewsResources

On the Betti numbers of Springer fibers for classical types

Dongkwan Kim

Published 2018-10-02Version 1

For a Weyl group $W$ of classical type, we present a formula to calculate the restriction of (graded) Springer representations of $W$ to a maximal parabolic subgroup $W'$ where the types of $W$ and $W'$ are in the same series. As a result, we obtain recursive formulas for the Betti numbers of Springer fibers for classical types.

Comments: 24 pages
Categories: math.RT, math.AG
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