Tensor products of finite and infinite dimensional representations of semisimple Lie algebras
J. N. Bernstein, S. I. Gelfand (1980)
Compositio Mathematica
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Displaying similar documents to “A remark on differential operator algebras and an equivalence of categories”
Tensor products of finite and infinite dimensional representations of semisimple Lie algebras
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Classification of irreducible weight modules
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Let be a reductive Lie algebra and let be a Cartan subalgebra. A -module is called a if and only if , where each weight space is finite dimensional. The main result of the paper is the classification of all simple weight -modules. Further, we show that their characters can be deduced from characters of simple modules in category .