Composition series and intertwining operators for the spherical principal series
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- by Kenneth Johnson and Nolan R. Wallach PDF
- Bull. Amer. Math. Soc. 78 (1972), 1053-1059
References
- I. M. Gel′fand, M. I. Graev, and N. Ya. Vilenkin, Generalized functions. Vol. 5: Integral geometry and representation theory, Academic Press, New York-London, 1966. Translated from the Russian by Eugene Saletan. MR 0207913
- Harish-Chandra, Representations of semisimple Lie groups. II, Trans. Amer. Math. Soc. 76 (1954), 26–65. MR 58604, DOI 10.1090/S0002-9947-1954-0058604-0
- Sigurđur Helgason, A duality for symmetric spaces with applications to group representations, Advances in Math. 5 (1970), 1–154 (1970). MR 263988, DOI 10.1016/0001-8708(70)90037-X
- Kenneth D. Johnson, Composition series and intertwining operators for the spherical principal series. II, Trans. Amer. Math. Soc. 215 (1976), 269–283. MR 385012, DOI 10.1090/S0002-9947-1976-0385012-X
- Kenneth D. Johnson and Nolan R. Wallach, Composition series and intertwining operators for the spherical principal series. I, Trans. Amer. Math. Soc. 229 (1977), 137–173. MR 447483, DOI 10.1090/S0002-9947-1977-0447483-0
- A. W. Knapp and E. M. Stein, Intertwining operators for semisimple groups, Ann. of Math. (2) 93 (1971), 489–578. MR 460543, DOI 10.2307/1970887
- Bertram Kostant, On the existence and irreducibility of certain series of representations, Bull. Amer. Math. Soc. 75 (1969), 627–642. MR 245725, DOI 10.1090/S0002-9904-1969-12235-4
- Edward Nelson, Analytic vectors, Ann. of Math. (2) 70 (1959), 572–615. MR 107176, DOI 10.2307/1970331
- Paul J. Sally Jr., Intertwining operators and the representations of $\textrm {SL}(2,\,\textbf {R})$, J. Functional Analysis 6 (1970), 441–453. MR 0299727, DOI 10.1016/0022-1236(70)90071-6
- Gérard Schiffmann, Intégrales d’entrelacement et fonctions de Whittaker, Bull. Soc. Math. France 99 (1971), 3–72 (French). MR 311838
- Reiji Takahashi, Sur les représentations unitaires des groupes de Lorentz généralisés, Bull. Soc. Math. France 91 (1963), 289–433 (French). MR 179296
Additional Information
- Journal: Bull. Amer. Math. Soc. 78 (1972), 1053-1059
- MSC (1970): Primary 22E45, 22D30; Secondary 22E43
- DOI: https://doi.org/10.1090/S0002-9904-1972-13108-2
- MathSciNet review: 0310136