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Changement de base pour les représentations temperees des groupes reductifs réels. (French) Zbl 0516.22010

MSC:
22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
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[1] A. BOREL , Automorphic L-Functions (Proc. Sym. Pure Math., vol. 33, n^\circ 2, 1979 , p. 27-61). MR 81m:10056 | Zbl 0412.10017 · Zbl 0412.10017
[2] A. BOREL et J. TITS , Groupes réductifs (I.H.E.S. Publ. Math., vol. 27, 1975 , p. 55-150). Numdam | MR 34 #7527 | Zbl 0145.17402 · Zbl 0145.17402 · doi:10.1007/BF02684375 · numdam:PMIHES_1965__27__55_0 · eudml:103858
[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 ). MR 83c:22018 | Zbl 0443.22010 · Zbl 0443.22010
[4] L. CLOZEL , ”Base Change” géométrique: Relèvement de la série principale de GL (n, \Bbb C/\Bbb R) , Springer LN 728, 1979 , p. 17-41. MR 81d:20038 | Zbl 0495.20020 · Zbl 0495.20020 · doi:10.1007/BFb0063336
[5] L. CLOZEL , Sur le ”base change” pour les formes réelles de GL (2, \Bbb 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. MR 53 #3198 | Zbl 0315.22008 · Zbl 0315.22008
[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 . · Zbl 0146.43601
[9] T. HIRAI , The Characters of Some Induced Representations of Semi-Simple Lie Groups (J. Math. Kyoto Univ., vol. 8, 1968 , p. 313-363). Article | MR 39 #354 | Zbl 0185.21503 · Zbl 0185.21503 · minidml.mathdoc.fr
[10] A. KNAPP , Commutativity of Intertwining Operators II (Bull. A. M. S. vol. 82, 1976 , p. 271-273). Article | MR 53 #10986 | Zbl 0333.22006 · Zbl 0333.22006 · doi:10.1090/S0002-9904-1976-14019-0 · minidml.mathdoc.fr
[11] A. KNAPP , Commutativity of Intertwining Operators for Semi-Simple Groups (preprint). · Zbl 0488.22027 · numdam:CM_1982__46_1_33_0 · eudml:89546
[12] A. KNAPP et E. M. STEIN , Intertwining Operators for Semi-Simple Groups (Ann. of Math., vol. 93, 1971 , p. 489-578). MR 57 #536 | Zbl 0257.22015 · Zbl 0257.22015 · doi:10.2307/1970887
[13] R. P. LANGLANDS , Problems in the Theory of Automorphic Forms , Springer LN 170, 1970 , p. 18-86. MR 46 #1758 | Zbl 0225.14022 · Zbl 0225.14022
[14] R. P. LANGLANDS , On the Classification of Irreducible Representations of Real Algebraic Groups , preprint (sic), I.A.S., Princeton, 1973 . · Zbl 0741.22009
[15] R. P. LANGLANDS , Stable Conjugacy: Definitions and Lemmas (Can. J. Math., vol. 31, n^\circ 4, 1979 , p. 700-725). MR 82j:10054 | Zbl 0421.12013 · Zbl 0421.12013 · doi:10.4153/CJM-1979-069-2
[16] J. REPKA , Base Change Lifting and Galois Invariance (preprint). · Zbl 0431.12015
[17] J. REPKA , Base Change for Tempered Irreductible Representations of GL (n, \Bbb R) (à paraître). · Zbl 0443.22011
[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 \Bbb R , (Comp. Math., vol. 39, 1979 , p. 11-45). Numdam | MR 80m:22023 | Zbl 0431.22011 · Zbl 0431.22011 · numdam:CM_1979__39_1_11_0 · eudml:89413
[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 0494.22007
[22] T. SHINTANI , On Irreductible Unitary Characters of a Certain Group Extention of GL (2, \Bbb C) (J. Math. Soc. Japan, vol. 29, n^\circ 1, 1977 ). Article | Zbl 0342.20021 · Zbl 0342.20021 · doi:10.2969/jmsj/02910165 · minidml.mathdoc.fr
[23] R. STEINBERG , Regular Elements of Semi-Simple Algebraic Groups (I.H.E.S. Pbl. Math., vol. 25, 1965 , p. 49-80). Numdam | MR 31 #4788 | Zbl 0136.30002 · Zbl 0136.30002 · doi:10.1007/BF02684397 · numdam:PMIHES_1965__25__49_0 · eudml:103853
[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 0192.36201 · Zbl 0192.36201 · doi:10.1007/BFb0081541
[25] M. SIGIURA , Conjugate Classes of Cartan Subalgebras in Real Semi-Simple Lie algebras (J. Math. Soc. Japon, vol. 11, 1959 , p. 374-434). MR 26 #3827 | Zbl 0204.04201 · Zbl 0204.04201 · doi:10.2969/jmsj/01140374
[26] J. TATE , Number Theoretic Background (Proc. Symp. Pure Math., vol. 33, n^\circ 2, 1979 , p. 3-26). MR 80m:12009 | Zbl 0422.12007 · Zbl 0422.12007
[27] V. S. VARADARAJAN , Harmonic Analysis on Real Reductive Groups , Springer LN 576, 1977 . MR 57 #12789 | Zbl 0354.43001 · Zbl 0354.43001 · doi:10.1007/BFb0097814
[28] N. WALLACH , Representations of Reductive Lie Groups (Proc. Symp. Pure Math., vol. 33, n^\circ 1, 1979 , p. 71-86). MR 80m:22024 | Zbl 0421.22006 · Zbl 0421.22006
[29] N. WALLACH , Harmonic Analysis on Homogeneous Spaces , Marcel Dekker, 1973 . MR 58 #16978 | Zbl 0265.22022 · Zbl 0265.22022
[30] G. WARNER , Harmonic Analysis on Semi-Simple Lie Groups , I-II, Springer, 1972 . · Zbl 0265.22020
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