7 papers · 1 filter
On total Springer representations for the symplectic Lie algebra in characteristic 2 and the exotic case
Dongkwan Kim
Let be the Weyl group of type . We first provide restriction formulas of the total Springer representations for the symplectic Lie algebra in characteristic 2 and the exo…
Asymptotic Hecke algebras and Lusztig-Vogan bijection via affine matrix-ball construction
Dongkwan Kim, Pavlo Pylyavskyy
Affine matrix-ball construction (abbreviated AMBC) was developed by Chmutov, Lewis, Pylyavskyy, and Yudovina as an affine generalization of Robinson-Schensted correspondence. We sh…
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…
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…
Euler characteristic of analogues of a Deligne-Lusztig variety for
Dongkwan Kim
In this paper we give a combinatorial formula to calculate the Euler characteristic of an analogue of a Deligne-Lusztig variety if we replace Frobenius morphism with conjugation by…
A Comparison of Two Complexes
Dongkwan Kim
In this paper we prove the conjecture of Lusztig in "Generic character sheaves on groups over ." Given a reductive group over for some …