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math.RT2004
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…
math.RT2003
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…
math.RT2002
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…