125 citations · 620 across the 18 of their papers we have counts for
18 papers
Quantum Toroidal Comodule Algebra of Type and Integrals of Motion
Boris Feigin, Michio Jimbo, Evgeny Mukhin
We introduce an algebra which has a structure of a left comodule over the quantum toroidal algebra of type . Algebra is a higher rank gener…
Deformations of algebras via quantum toroidal algebras
B. Feigin, M. Jimbo, E. Mukhin +1
The deformed algebras of type have a uniform description in terms of the quantum toroidal algebra . We introduce a comodule…
The ) duality in the quantum toroidal setting
B. Feigin, M. Jimbo, E. Mukhin
On a Fock space constructed from free bosons and lattice , we give a level action of the quantum toroidal algebra associated to $\mathfra…
A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes
A. Buryak, B. L. Feigin, H. Nakajima
In a recent paper the first two authors proved that the generating series of the Poincare polynomials of the quasihomogeneous Hilbert schemes of points in the plane has a simple de…
Generating series of the Poincare polynomials of quasihomogeneous Hilbert schemes
A. Buryak, B. L. Feigin
In this paper we prove that the generating series of the Poincare polynomials of quasihomogeneous Hilbert schemes of points in the plane has a beautiful decomposition into an infin…
Representations of quantum toroidal
B. Feigin, M. Jimbo, T. Miwa +1
We define and study representations of quantum toroidal with natural bases labeled by plane partitions with various conditions. As an application, we give an explicit descri…