We study irreducible modules for Toroidal Lie-algebras with finite dimensional weight spaces. First note that Toroidal Lie-algebras have infinite dimensional center. In genaral the infinite dimensional center does not act as scalars on an irreducible module but acts as invertible central operators. We prove in this paper the study of irreducible modules for Toroidal Lie-algebras with finite dimensional weight spaces is reduced to the study of irreducible modules where the center acts as scalars.
Classification of Irreducible integrable modules for toroidal Lie-algebras with finite dimensional weight spaces
Integrable Modules For Graded Lie Tori With Finite Dimensional Weight Spaces
Weight modules over exp-polynomial Lie algebras
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