Abstract
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.
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KIM, D. ON THE BETTI NUMBERS OF SPRINGER FIBERS FOR CLASSICAL TYPES. Transformation Groups 26, 929–955 (2021). https://doi.org/10.1007/s00031-020-09580-6
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DOI: https://doi.org/10.1007/s00031-020-09580-6