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math.RT2019
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…
math.CO2019
Two-row -graphs in affine type
Dongkwan Kim, Pavlo Pylyavskyy
For affine symmetric groups we construct finite -graphs corresponding to two-row shapes, and prove their uniqueness. This gives the first non-trivial family of examples of finit…
math.RT2019★ 3 cited
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…