90 citations · 418 across the 58 of their papers we have counts for
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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…
Nonsymmetric -Cauchy identity and representations of the Iwahori algebra
Evgeny Feigin, Ievgen Makedonskyi, Daniel Orr
The specialization of the Mimachi-Noumi Cauchy-type identity rewrites certain infinite product in terms of specialized nonsymmetric Macdonald polynomials of type . We i…
Generalized juggling patterns, quiver Grassmannians and affine flag varieties
Evgeny Feigin, Martina Lanini, Alexander Pütz
The goal of this paper is to clarify the connection between certain structures from the theory of totally nonnegative Grassmannians, quiver Grassmannians for cyclic quivers and the…