14 citations · 15 across the 5 of their papers we have counts for
6 papers · 1 filter
Sets of rigged paths with Virasoro characters
B. Feigin, M. Jimbo, T. Miwa +2
Let \{M_{r,s}\}_{0< r < p, 0< s < p'} be the irreducible Virasoro modules in the -minimal series. In our previous paper, we have constructed a monomial basis of \oplus_{r=1…
Homological realization of the restricted Kostka polynomials
B. Feigin, E. Feigin
In this paper we give two realizations of the restricted Kostka polynomials for $\sl_2$. Firstly we identify the restricted Kostka polynomials with a characters of the zero homolog…
Principle subspace for bosonic vertex operator and Jack polynomials
B. Feigin, E. Feigin
Let be bosonic vertex operator, some irreducible representation of the vertex algebra $\A_{(m)}$, associated with one-dime…
Riemann-Roch-Hirzebruch theorem and Topological Quantum Mechanics
Boris Feigin, Andrey Losev, Boris Shoikhet
In the present paper we discuss an independent on the Grothendieck-Sato isomorphism approach to the Riemann-Roch-Hirzebruch formula for an arbitrary differential operator. Instead…
A functional model for the tensor product of level 1 highest and level -1 lowest modules for the quantum affine algebra U_q(sl_{2}^)
B. Feigin, M. Jimbo, M. Kashiwara +3
Let (resp., ) be a fundamental integrable highest (resp., lowest) weight module of . The tensor product is filtered by…
Schubert varieties and the fusion products
B. Feigin, E. Feigin
For each we define a Schubert variety as a closure of the $\Slt(\C[t])$-orbit in the projectivization of the fusion product . We clarify the connection of t…