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ON THE BETTI NUMBERS OF SPRINGER FIBERS FOR CLASSICAL TYPES
Transformation Groups ( IF 0.7 ) Pub Date : 2020-06-16 , DOI: 10.1007/s00031-020-09580-6
DONGKWAN KIM

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.



中文翻译:

关于古典型弹簧纤维的BETIT数

对于经典类型的Weyl群W,我们提出了一个公式来计算W的(渐变)Springer表示对最大抛物线子群W '的限制,其中WW '的类型相同。结果,我们获得了经典类型的Springer纤维的贝蒂数的递归公式。

更新日期:2020-06-16
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