299 citations · 1.4k across the 68 of their papers we have counts for
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Combinatorics of the Spaces of Coinvariants
B. Feigin, R. Kedem, S. Loktev +2
We consider two types of quotients of the integrable modules of . These spaces of coinvariants have dimensions described in terms of the Verlinde algebra of level-.…
Affine sl(2|1) and D(2|1;alpha) as Vertex Operator Extensions of Dual Affine sl(2) Algebras
P. Bowcock, B. L. Feigin, A. M. Semikhatov +1
We discover a realisation of the affine Lie superalgebra sl(2|1) and of the exceptional affine superalgebra D(2|1;alpha) as vertex operator extensions of two affine sl(2) algebras…
Generalized Drinfeld realization of quantum superalgebras and
Jintai Ding, Boris Feigin
In this paper, we extend the generalization of Drinfeld realization of quantum affine algebras to quantum affine superalgebras with its Drinfeld comultiplication and its Hopf algeb…
Integrable Hierarchies and Wakimoto Modules
Boris Feigin, Edward Frenkel
In our earlier papers we proposed a new approach to integrable hierarchies of soliton equations and their quantum deformations. We have applied this approach to the Toda field theo…
Extended vertex operator algebras and monomial bases
Boris Feigin, Tetsuji Miwa
We present a vertex operator algebra which is an extension of the level vertex operator algebra for the conformal field theory. We construct monomial basis of its…