99 citations · 415 across the 17 of their papers we have counts for
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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 …
Gaudin model and Deligne's category
B. Feigin, L. Rybnikov, F. Uvarov
We show that the construction of the higher Gaudin Hamiltonians associated to the Lie algebra admits an interpolation to any complex . We do this using the D…
On finite dimensionality of homology of subalgebras of vector fields
Boris Feigin, Alexei Kanel-Belov, Anton Khoroshkin
We show that finite tensor products of modules of tensor fields are Noetherian modules over any graded Lie subalgebra of finite codimension in the Lie algebra of polynomial vector…
Towards trigonometric deformation of coset VOA
B. Feigin, M. Jimbo, E. Mukhin
We discuss the quantization of the coset vertex operator algebra using the bosonization technique. We show that after quantization…
Finite type modules and Bethe ansatz equations
B. Feigin, M. Jimbo, T. Miwa +1
We introduce and study a category of modules of the Borel subalgebra of a quantum affine algebra , where the commutative algebra of Drinfeld generator…
Branching rules for quantum toroidal gl(n)
B. Feigin, M. Jimbo, T. Miwa +1
We construct an analog of the subalgebra of in the setting of quantum toroidal algebras and study the restrictions of various representations to t…