99 citations · 400 across the 17 of their papers we have counts for
17 papers
Remarks on -difference opers arising from quantum toroidal algebras
B. Feigin, M. Jimbo, E. Mukhin
We propose a conjectural correspondence between the spectra of the Bethe algebra for the quantum toroidal algebra on relaxed Verma modules, and -hypergeometric…
Combinatorial bases in quantum toroidal modules
Michio Jimbo, Evgeny Mukhin
We show that many tame modules of the quantum toroidal algebra can be explicitly constructed in a purely combinatorial way using the theory of -characters. The…
Commutative subalgebra of a shuffle algebra associated with quantum toroidal
B. Feigin, M. Jimbo, E. Mukhin
We define and study the shuffle algebra of the quantum toroidal algebra associated to Lie superalgebra . We show that …
Extensions of deformed -algebras via -characters
B. Feigin, M. Jimbo, E. Mukhin
We use combinatorics of -characters to study extensions of deformed -algebras. We describe additional currents and part of the relations in the cases of …
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…