Representations of Graded Multi-Loop Lie Algebras
Abstract
Let gA (respectively, gA(μ)) be the graded multi-loop Lie algebra (respectively graded twisted multi-loop Lie algebra)" associated with the simple finite dimensional Lie algebra g over the complex field C. In this paper, we prove that irreducible integrable gA(μ)-modules with finite dimensional weight spaces are either highest weight modules or their duals and classify the isomorphism classes of irreducible integrable gA-modules and gA(μ)-modules with finite dimensional weight spaces.
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