95 citations · 300 across the 23 of their papers we have counts for
26 papers
On fusion product and N!/k-conjecture
Anton Khoroshkin, Ievgen Makedonskyi
We formulate a version of Schur--Weyl duality for the current Lie algebra . Under this duality, the Garsia--Haiman modul…
Parahoric Lie algebras and parasymmetric Macdonald polynomials
Evgeny Feigin, Anton Khoroshkin, Ievgen Makedonskyi
The main goal of this paper is to categorify the specialized parasymmetric (intermediate) Macdonald polynomials. These polynomials depend on a parabolic subalgebra of a simple Lie…
Peter-Weyl theorem for Iwahori groups and highest weight categories
Evgeny Feigin, Anton Khoroshkin, Ievgen Makedonskyi +1
We study the algebra of functions on the Iwahori group via the category of graded bounded representations of its Lie algebra. In particular, we identify the standard and costandard…
On finite dimensionality of homology of subalgebras of vector fields
Boris Feigin, Alexei Kanel-Belov, Anton Khoroshkin
We show that finite tensor products of modules of tensor fields are Noetherian modules over any graded Lie subalgebra of finite codimension in the Lie algebra of polynomial vector…
On deformation quantization of quadratic Poisson structures
Anton Khoroshkin, Sergei Merkulov
We study the deformation complex of the dg wheeled properad of -graded quadratic Poisson structures and prove that it is quasi-isomorphic to the even M. Kontsevich grap…
Categorification of DAHA and Macdonald polynomials
Syu Kato, Anton Khoroshkin, Ievgen Makedonskyi
We describe a categorification of the Double Affine Hecke Algebra () associated with an affine Lie algebra , including…