  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.
