On the existence and irreducibility of certain series of representations
Author:
Bertram Kostant
Journal:
Bull. Amer. Math. Soc. 75 (1969), 627-642
DOI:
https://doi.org/10.1090/S0002-9904-1969-12235-4
MathSciNet review:
0245725
Full-text PDF
References | Additional Information
- 1. François Bruhat, Sur les representation induites des groupes de Lie, Bull. Soc. Math. France 84 (1956), 97-205. MR 84713
- 2. Harish-Chandra, Representations of a semi-simple Lie group on a Banach Space. I, Trans. Amer. Math. Soc. 75 (1953), 185-243. MR 56610
- 3. I. M. Gel'fand and M. I. Graev, Unitary representations of the real unimodular group (principal nondegenerate series), Izv. Akad. Nauk SSSR Ser. Mat. 17 (1953), 189-248; English transl., Amer. Math. Soc. Transl. (2) 2 (1956), 147-205. MR 76291
- 4. D. A. Kajdan, Sur les relations entre l'espace dual d'un groupe et la structure de ses sous-groupes fermés, Funkcional. Anal. i Priložen. 1 (1967), 71-74.
- 5. Bertram Kostant, Lie group representations on a polynomial ring, Amer. J. Math. 85 (1963), 327-404. MR 158024
- 6. Bertram Kostant and Stephen Rallis, On representation associated with symmetric spaces, Bull. Amer. Math. Soc. 75 (1969), 884-888. MR 257285
- 7. Bertram Kostant and Stephen Rallis, On orbits associated with symmetric spaces, Bull Amer. Math. Soc. 75 (1969), 879-883. MR 257284
- 8. Edward Nelson, Analytic vectors, Ann. of Math. (2) 70 (1959), 572-615. MR 107176
- 9. K. R. Parthasarathy, R. Ranga Rao and V. S. Varadarajan, Representations of complex semi-simple Lie groups and Lie algebras, Ann. of Math. (2) 85 (1967), 383-429. MR 225936
Additional Information
DOI:
https://doi.org/10.1090/S0002-9904-1969-12235-4