90 citations · 418 across the 58 of their papers we have counts for
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Extremal part of the PBW-filtration and E-polynomials
Ivan Cherednik, Evgeny Feigin
Given a reduced irreducible root system, the corresponding nil-DAHA is used to calculate the extremal coefficients of nonsymmetric Macdonald polynomials, also called E-polynomails,…
Quantum continuous : Tensor products of Fock modules and characters
B. Feigin, E. Feigin, M. Jimbo +2
We construct a family of irreducible representations of the quantum continuous whose characters coincide with the characters of representations in the minimal models of…
Quantum continuous : Semi-infinite construction of representations
B. Feigin, E. Feigin, M. Jimbo +2
We begin a study of the representation theory of quantum continuous , which we denote by . This algebra depends on two parameters and is a deforme…
Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian
B. Feigin, E. Feigin, M. Jimbo +2
We use the Whittaker vectors and the Drinfeld Casimir element to show that eigenfunctions of the difference Toda Hamiltonian can be expressed via fermionic formulas. Motivated by t…
The PBW Filtration, Demazure Modules and Toroidal Current Algebras
Evgeny Feigin
Let be the basic (level one vacuum) representation of the affine Kac-Moody Lie algebra . The -th space of the PBW filtration on is a linear span…
formal genus Gromov-Witten theories and Givental's formalism
Evgeny Feigin
In [Gi3] Givental introduced and studied a space of formal genus zero Gromov-Witten theories , i.e. functions satisfying string and dilaton equations and topological recursio…