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A generalization of the Enright-Varadarajan modules. (English) Zbl 0384.17005

MSC:
17B20 Simple, semisimple, reductive (super)algebras
17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
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References:
[1] I.N. Bernstein , I.M. Gelfand and S.I. Gelfand : Structure of representations possessing a highest weight (in Russian) . Funct. Anal. and Appl. 5(1) (1971) 1-9. · Zbl 0246.17008
[2] J. Dixmier : Algebres Enveloppantes , Gauthier-Villars, Paris, 1974. · Zbl 0308.17007
[3] T.J. Enright and V.S. Varadarajan : On an infinitesimal characterization of the discrete series . Ann. of Math. 102 (1975) 1-15. · Zbl 0304.22011
[4] Harish-Chandra : Representations of a semisimple Lie group II , Trans. A.M.S. 76 (1954) 26-65. · Zbl 0055.34002
[5] V.S. Varadarajan : Lie groups, Lie algebras and their representations . Prentice-Hall, 1974. · Zbl 0371.22001
[6] D.N. Verma : Structure of some induced representations of complex semisimple Lie algebras . Bull. A.M.S. 74 (1968) 160-166. · Zbl 0157.07604
[7] N.R. Wallach : Harmonic Analysis on Homogeneous Spaces . Marcel Dekker, Inc., New York, 1973. · Zbl 0265.22022
[8] G. Warner : Harmonic Analysis on Semisimple Lie Groups I . Springer-Verlag, New York, 1972. · Zbl 0265.22020
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