Changement de base pour les représentations tempérées des groupes réductifs réels

Clozel, Laurent

Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 15 (1982) no. 1, pp. 45-115

[1] A. Borel, Automorphic L-Functions (Proc. Sym. Pure Math., vol. 33, n° 2, 1979, p. 27-61). | Zbl | MR

[2] A. Borel et J. Tits, Groupes réductifs (I.H.E.S. Publ. Math., vol. 27, 1975, p. 55-150). | Zbl | MR | Numdam

[3] A. Borel et N. Wallach, Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups (Ann. of Math. Studies, vol. 94, Princeton U.P. 1980). | Zbl | MR

[4] L. Clozel, "Base Change" géométrique: Relèvement de la série principale de GL (n, ℂ/ℝ), Springer LN 728, 1979, p. 17-41. | Zbl | MR

[5] L. Clozel, Sur le "base change" pour les formes réelles de GL (2, ℂ), Université Paris-VII, U.E.R. de Math., 1980.

[6] M. Duflo, Représentations irréductibles des groupes semi-simples complexes, Springer LN 497, 1975, p. 26-88. | Zbl | MR

[7] P. Gerardin, La classification de R.P. Langlands des représentations irréductibles des groupes réductifs réels (notes non publiées).

[8] S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, 1959.

[9] T. Hirai, The Characters of Some Induced Representations of Semi-Simple Lie Groups (J. Math. Kyoto Univ., vol. 8, 1968, p. 313-363). | Zbl | MR

[10] A. Knapp, Commutativity of Intertwining Operators II (Bull. A. M. S. vol. 82, 1976, p. 271-273). | Zbl | MR

[11] A. Knapp, Commutativity of Intertwining Operators for Semi-Simple Groups (preprint).

[12] A. Knapp et E. M. Stein, Intertwining Operators for Semi-Simple Groups (Ann. of Math., vol. 93, 1971, p. 489-578). | Zbl | MR

[13] R. P. Langlands, Problems in the Theory of Automorphic Forms, Springer LN 170, 1970, p. 18-86. | Zbl | MR

[14] R. P. Langlands, On the Classification of Irreducible Representations of Real Algebraic Groups, preprint (sic), I.A.S., Princeton, 1973.

[15] R. P. Langlands, Stable Conjugacy: Definitions and Lemmas (Can. J. Math., vol. 31, n° 4, 1979, p. 700-725). | Zbl | MR

[16] J. Repka, Base Change Lifting and Galois Invariance (preprint). | Zbl

[17] J. Repka, Base Change for Tempered Irreductible Representations of GL (n, ℝ) (à paraître). | Zbl

[18] J. Repka, Base Change and Induced Representations of Real Reductive Groups (preprint).

[19] D. Shelstad, Characters and Inner Forms of a Quasi-Split Group Over ℝ, (Comp. Math., vol. 39, 1979, p. 11-45). | Zbl | MR | Numdam | EuDML

[20] D. Shelstad, Some Character Relations for Real Reductive Algebraic Groups (Thèse, Yale, 1974).

[21] D. Shelstad, Base Change and a Matching Theorem for Real Groups (preprint). | Zbl

[22] T. Shintani, On Irreductible Unitary Characters of a Certain Group Extention of GL (2, ℂ) (J. Math. Soc. Japan, vol. 29, n° 1, 1977). | Zbl

[23] R. Steinberg, Regular Elements of Semi-Simple Algebraic Groups (I.H.E.S. Pbl. Math., vol. 25, 1965, p. 49-80). | Zbl | MR | Numdam | EuDML

[24] R. Steinberg et T. A. Springer, in A. Borel et coll., Seminar on Algebraic Groups and Related Finite Groups, Springer LN 131, 1970. | Zbl

[25] M. Sigiura, Conjugate Classes of Cartan Subalgebras in Real Semi-Simple Lie algebras (J. Math. Soc. Japon, vol. 11, 1959, p. 374-434). | Zbl | MR

[26] J. Tate, Number Theoretic Background (Proc. Symp. Pure Math., vol. 33, n° 2, 1979, p. 3-26). | Zbl | MR

[27] V. S. Varadarajan, Harmonic Analysis on Real Reductive Groups, Springer LN 576, 1977. | Zbl | MR

[28] N. Wallach, Representations of Reductive Lie Groups (Proc. Symp. Pure Math., vol. 33, n° 1, 1979, p. 71-86). | Zbl | MR

[29] N. Wallach, Harmonic Analysis on Homogeneous Spaces, Marcel Dekker, 1973. | Zbl | MR

[30] G. Warner, Harmonic Analysis on Semi-Simple Lie Groups, I-II, Springer, 1972. | Zbl