On the Enright-Varadarajan modules : a construction of the discrete series
Nolan R. Wallach (1976)
Annales scientifiques de l'École Normale Supérieure
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Nolan R. Wallach (1976)
Annales scientifiques de l'École Normale Supérieure
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Anthony Joseph, Gail Letzter (1995)
Annales scientifiques de l'École Normale Supérieure
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A. Joseph (1985)
Annales scientifiques de l'École Normale Supérieure
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Anthony Joseph (1992)
Annales scientifiques de l'École Normale Supérieure
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Olivier Mathieu (2000)
Annales de l'institut Fourier
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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 .