90 citations · 100 across the 5 of their papers we have counts for
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Extensions of a commuting pair of quantum toroidal
B. Feigin, M. Jimbo, E. Mukhin
We introduce a family of algebras , , as an extension of a pair of commuting quantum toroidal subalgebras $\mathcal{E}_1,\che…
Affinization of shifted quantum affine
B. Feigin, M. Jimbo, E. Mukhin
We give a realization of quantum toroidal algebra associated to which can be viewed as an affinization of the Drinfeld new realization of quantum…
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 …
On the supersymmetric XXX spin chains associated to
Kang Lu, Evgeny Mukhin
We study the supersymmetric XXX spin chains. We give an explicit description of the algebra of Hamiltonians acting on any cyclic tensor products of polynomial…
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…