1 citations · 1 across the 3 of their papers we have counts for
6 papers
Jet modules
Yuly Billig
In this paper we classify indecomposable modules for the Lie algebra of vector fields on a torus that admit a compatible action of the algebra of functions. An important family of…
Weight modules over exp-polynomial Lie algebras
Yuly Billig, Kaiming Zhao
In this paper, we generalize a result by Berman and Billig on weight modules over Lie algebras with polynomial multiplication. More precisely, we show that a highest weight module…
Abelian Extensions of the Group of Diffeomorphisms of a Torus
Yuly Billig
In this paper we construct abelian extensions of the group of diffeomorphisms of a torus. We consider the jacobian map, which is a crossed homomorphism from the group of diffeomorp…
Energy-momentum tensor for the toroidal Lie algebras
Yuly Billig
We construct vertex operator representations for the full (N+1)-toroidal Lie algebra g. We associate with g a toroidal vertex operator algebra, which is a tensor product of an affi…
Vertex operator algebras and the representation theory of toroidal algebras
S. Berman, Y. Billig, J. Szmigielski
An explicit vertex operator algebra construction is given of a class of irreducible modules for toroidal Lie algebras.
Sine-Gordon Equation and Representations of Affine Kac-Moody Algebra \hat{sl_2}
Yuly Billig
The goal of this paper is to give a representation-theoretic interpretation of the sine-Gordon equation. We consider a vertex operator representation of affine Kac-Moody algebra \h…