On the Betti numbers of Springer fibers for classical types
Representation Theory
2018-10-03 v1 Algebraic Geometry
Abstract
For a Weyl group of classical type, we present a formula to calculate the restriction of (graded) Springer representations of to a maximal parabolic subgroup where the types of and are in the same series. As a result, we obtain recursive formulas for the Betti numbers of Springer fibers for classical types.
Keywords
Cite
@article{arxiv.1810.01034,
title = {On the Betti numbers of Springer fibers for classical types},
author = {Dongkwan Kim},
journal= {arXiv preprint arXiv:1810.01034},
year = {2018}
}
Comments
24 pages