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Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus

S. Eswara Rao
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Abstract

We consider the Lie-algebra of the group of diffeomorphisms of d-dimensional torus which is also known to be the algebra of derivations on a Laurent polynomial ring A in d commuting variables denoted by DerA. Larsson has constructed a large class of DerA modules based on gl_d modules which are also A modules. In this paper we prove that any irreducible (A, DerA) module with finite dimensional weight spaces has to come from Larsson's construction.

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BibTeXRIS

S. Eswara Rao. 2004-05-18. Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus. https://doi.org/10.1063/1.1769104

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