99 citations · 415 across the 17 of their papers we have counts for
17 papers
Center of the affine at the critical level and pseudo-differential operators
Dražen Adamović, Boris Feigin, Shigenori Nakatsuka
We prove that the center of the affine Lie algebra at the critical level is generated by the coefficients in the expansion of the pseudo-differentia…
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…
Vertex algebras with big center and a Kazhdan-Lusztig Correspondence
Boris L. Feigin, Simon D. Lentner
Certain deformable families of vertex algebras acquire at a limit of the deformation parameter a large center, similar to affine Lie algebras at critical level. Then the vertex alg…
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…