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math.RT2007
Differential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus
Yuly Billig, Alexander Molev, Ruibin Zhang
We study irreducible representations for the Lie algebra of vector fields on a 2-dimensional torus constructed using the generalized Verma modules. We show that for a certain choic…
math.RT2007
On the cohomology of vector fields on parallelizable manifolds
Yuly Billig, Karl-Hermann Neeb
In the present paper we determine for each parallelizable smooth compact manifold the cohomology spaces of the Lie algebra of smooth vector fields on…