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Classification of Irreducible Nonzero Level Modules with Finite-Dimensional Weight Spaces for Affine Lie Algebras

โœ Scribed by V Futorny; A Tsylke


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
142 KB
Volume
238
Category
Article
ISSN
0021-8693

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โœฆ Synopsis


We classify the irreducible weight affine Lie algebra modules with finite-dimensional weight spaces on which the central element acts nontrivially. In particular, we show that any such module is a quotient of a generalized Verma module. The classification of such irreducible modules is reduced to the classification of irreducible torsion-free modules for algebras of type A and C which is due to n n ลฝ . O. Mathieu forthcoming .


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