×

Commutativity of intertwining operators for semisimple groups. (English) Zbl 0488.22027


MSC:

22E46 Semisimple Lie groups and their representations
22D30 Induced representations for locally compact groups
PDFBibTeX XMLCite
Full Text: Numdam EuDML

References:

[1] N. Bourbaki : Éléments de mathématique XXXIV, Groupes et algèbres de Lie . Hermann, Paris, 1968. · Zbl 0186.33001
[2] Harish-Chandra : Discrete series for semisimple Lie groups II . Acta Math. 116 (1966) 1-111. · Zbl 0199.20102
[3] Harish-Chandra : On the theory of the Eisenstein integral, Conference on Harmonic Analysis , Lecture Notes in Math. 266 (1972) 123-149, Springer-Verlag, Berlin-Heidelberg-New York. · Zbl 0245.22019
[4] Harish-Chandra : Harmonic analysis on real reductive groups I . J. Functional Anal. 19 (1975) 104-204. · Zbl 0315.43002
[5] Harish-Chandra : Harmonic analysis on real reductive groups III . Annals of Math. 104 (1976) 117-201. · Zbl 0331.22007
[6] S. Helgason : Differential Geometry and Symmetric Spaces . Academic Press, New York, 1962. · Zbl 0111.18101
[7] N. Jacobson : Lie Algebras . Interscience Publishers, New York, 1962. · Zbl 0121.27504
[8] A.W. Knapp : Determination of intertwining operators . Proc. Symposia Pure Math. 26 (1973) 263-268, Amer. Math. Soc., Providence. · Zbl 0288.22015
[9] A.W. Knapp : Commutativity of intertwining operators . Bull. Amer. Math. Soc. 79 (1973) 1016-1018. · Zbl 0269.22012
[10] A.W. Knapp : Commutativity of intertwining operators II . Bull. Amer. Math. Soc. 82 (1976) 271-273. · Zbl 0333.22006
[11] A.W. Knapp : Weyl group of a cuspidal parabolic . Annales Scientifiques de l’École Normale Supérieure 8 (1975) 275-294. · Zbl 0305.22010
[12] A.W. Knapp and E.M. Stein : Intertwining operators for semisimple groups . Annals of Math. 93 (1971) 489-578. · Zbl 0257.22015
[13] A.W. Knapp and E.M. Stein : Intertwining operators for semisimple groups II . Inventiones Math. 60 (1980) 9-84. · Zbl 0454.22010
[14] G.W. Mackey : On induced representations of groups . Amer. J. Math. 73 (1951) 576-592. · Zbl 0045.30305
[15] W. Schmid : Some properties of square integrable representations of semisimple Lie groups . Annals of Math. 102 (1975) 535-564. · Zbl 0347.22011
[16] D.A. Vogan : Lie algebra cohomology and the representations of semisimple Lie groups . Thesis, Massachusetts Institute of Technology, 1976.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.