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math.RT2018
On the Betti numbers of Springer fibers for classical types
Dongkwan Kim
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…
math.CO2018
An affine generalization of evacuation
M. Chmutov, G. Frieden, D. Kim +2
We establish the existence of an involution on tabloids that is analogous to Schutzenberger's evacuation map on standard Young tableaux. We find that the number of its fixed points…
math.RT2018
On the affine Schützenberger involution
Dongkwan Kim
We consider an involution on the affine Weyl group of type induced from the nontrivial automorphism on the (finite) Dynkin diagram. We prove that the number of left cells fixed…