3 papers
math.RT2024
Around Hikita-Nakajima conjecture for nilpotent orbits and parabolic Slodowy varieties
Do Kien Hoang, Vasily Krylov, Dmytro Matvieievskyi
Let be a complex reductive algebraic group. In arxiv:2108.03453 Ivan Losev, Lucas mason-Brown and the third-named author suggested a symplectic duality between nilpotent Slodow…
math.RT2024
Affine Kazhdan-Lusztig polynomials on the subregular cell in non simply-laced Lie algebras: with an application to character formulae (with an appendix by Roman Bezrukavnikov, Vasily Krylov, and Kenta Suzuki)
Vasily Krylov, Kenta Suzuki
We extend the techniques in arXiv:2209.08865(1) to the non-simply-laced situation, and calculate explicit special values of parabolic affine inverse Kazhdan-Lusztig polynomials for…
math.RT2024
A geometric realization of the asymptotic affine Hecke algebra
Roman Bezrukavnikov, Ivan Karpov, Vasily Krylov
A key tool for the study of an affine Hecke algebra is provided by Springer theory of the Langlands dual group via the realization of as equivariant …