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Schlichtkrull, Henrik

The Langlands parameters of Flensted-Jensen’s discrete series for semisimple symmetric spaces. (English) Zbl 0507.22013

J. Funct. Anal. 50, 133-150 (1983).
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Cited in 10 Documents

MSC:

22E46 Semisimple Lie groups and their representations

Keywords:

homogeneous spaces; irreducible unitary representations; Langlands parameters; rank; square integrable C-infinity functions; lowest K-types

Citations:

Zbl 0462.22006; Zbl 0469.22012
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References:

[1] Dixmier, J., Algèbres Enveloppantes (1972), Gauthiers-Villars: Gauthiers-Villars Paris · Zbl 0422.17003
[2] Flensted-Jensen, M., Discrete series for semisimple symmetric spaces, Ann. of Math., 111, 253-311 (1980) · Zbl 0462.22006
[4] Helgason, S., A duality for symmetric spaces with applications to group representations, Advan. Math., 5, 1-154 (1970) · Zbl 0209.25403
[5] Knapp, A. W.; Speh, B., Status of Classification of Irreducible Unitary Representations, (Ricci, F.; Weiss, G., Harmonic Analysis. Harmonic Analysis, Lecture Notes in Math., Vol. 908 (1982)), 1-38 · Zbl 0496.22018
[6] Knapp, A. W.; Stein, E. M., Intertwining operators for semisimple groups, II, Invent. Math., 60, 9-84 (1980) · Zbl 0454.22010
[7] Langlands, R. P., On the Classification of Irreducible Representations of Real Algebraic Groups (1973), Institute for Advanced Study: Institute for Advanced Study Princeton, N. J · Zbl 0741.22009
[9] Speh, B.; Vogan, D., Reducibility of generalized principal series representations, Acta Math., 145, 227-299 (1980) · Zbl 0457.22011
[10] Vooan, D., The algebraic structure of the representations of semisimple Lie groups, Ann. of Math., 109, 1-60 (1979) · Zbl 0424.22010
[12] Warner, G., (Harmonic Analysis on Semisimple Lie Groups, Vol. I (1972), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York) · Zbl 0265.22020
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