125 citations · 620 across the 18 of their papers we have counts for
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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…
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…
Logarithmic CFTs connected with simple Lie algebras
B. L. Feigin, I. Yu. Tipunin
For any root system corresponding to a semisimple simply-laced Lie algebra a logarithmic CFT is constructed. Characters of irreducible representations were calculated in terms of t…
Kernel function and quantum algebras
B. Feigin, A. Hoshino, J. Shibahara +2
We introduce an analogue of the Cauchy-type kernel function for the Macdonald polynomials, being constructed in the tensor product of the ring of symmetric functions…