Progrès récents vers la classification du dual unitaire des groupes réductifs réels
Séminaire Bourbaki : volume 1986/87, exposés 669-685, Astérisque, no. 152-153 (1987), Exposé no. 681, 24 p.

Voir la notice du chapitre de livre provenant de la source Numdam

MR Zbl
Clozel, Laurent. Progrès récents vers la classification du dual unitaire des groupes réductifs réels, dans Séminaire Bourbaki : volume 1986/87, exposés 669-685, Astérisque, no. 152-153 (1987), Exposé no. 681, 24 p.. http://geodesic.mathdoc.fr/item/SB_1986-1987__29__229_0/
@incollection{SB_1986-1987__29__229_0,
     author = {Clozel, Laurent},
     title = {Progr\`es r\'ecents vers la classification du dual unitaire des groupes r\'eductifs r\'eels},
     booktitle = {S\'eminaire Bourbaki : volume 1986/87, expos\'es 669-685},
     series = {Ast\'erisque},
     note = {talk:681},
     pages = {229--252},
     year = {1987},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {152-153},
     mrnumber = {936857},
     zbl = {0634.22013},
     language = {fr},
     url = {http://geodesic.mathdoc.fr/item/SB_1986-1987__29__229_0/}
}
TY  - CHAP
AU  - Clozel, Laurent
TI  - Progrès récents vers la classification du dual unitaire des groupes réductifs réels
BT  - Séminaire Bourbaki : volume 1986/87, exposés 669-685
AU  - Collectif
T3  - Astérisque
N1  - talk:681
PY  - 1987
SP  - 229
EP  - 252
IS  - 152-153
PB  - Société mathématique de France
UR  - http://geodesic.mathdoc.fr/item/SB_1986-1987__29__229_0/
LA  - fr
ID  - SB_1986-1987__29__229_0
ER  - 
%0 Book Section
%A Clozel, Laurent
%T Progrès récents vers la classification du dual unitaire des groupes réductifs réels
%B Séminaire Bourbaki : volume 1986/87, exposés 669-685
%A Collectif
%S Astérisque
%Z talk:681
%D 1987
%P 229-252
%N 152-153
%I Société mathématique de France
%U http://geodesic.mathdoc.fr/item/SB_1986-1987__29__229_0/
%G fr
%F SB_1986-1987__29__229_0

[1] A. Knapp - Representation theory of semi-simple groups : an overview based on examples, Princeton U. Press, 1986. | Zbl | MR

[2] D. Vogan - Representations of real reductive Lie groups, Birkhaüser, 1981. | Zbl | MR

[3] N. Wallach - Real reductive groups, en préparation. | Zbl

[4] D. Vogan - Unitary representations of reductive Lie groups, à paraître dans Annals of Math. Studies, Princeton U. Press. Voici des exposés utiles : | Zbl | MR

[5] A. Knapp, B. Speh - Status of classification of irreducible unitary representations, Harmonic Analysis Proceedings, Minneapolis 1981, Springer Lect. Notes 908, 1982. | Zbl | MR

[6] D. Vogan - Understanding the unitary dual, in Lie groups representations I, Herb ed., Springer Lect. Notes 1024, 1983. | Zbl | MR

[7] D. Vogan - Representations of reductive Lie groups, International Congress of Mathematicians, Berkeley, 1986 (à paraître). | Zbl | MR

[8] J. Arthur - On some problems suggested by the Trace Formula, in Lie group representations II, Herb ed., Springer Lect. Notes 1041, 1984. | Zbl | MR

[9a] W. Baldoni-Silva, A. Knapp - Indefinite intertwining operators, Proc. Nat. Acad. Sci. USA 81, 1272-1275; [9b] Indefinite intertwining operators II, preprint. | Zbl | MR

[10] D. Barbasch - Unipotent representations and unitarity, preprint, 15 p. (exposé de [11]). | MR

[11] D. Barbasch - Unipotent representations of complex semi-simple groups II, 1987.

[12] D. Barbasch, D. Vogan - Unipotent representations of complex semi-simple groups, Ann. of Math. 121 (1985), 41-110. | Zbl | MR

[13] V. Bargmann - Irreducible unitary representations of the Lorentz group, Ann. of Math. (2) 48 (1947) , 568-640. | Zbl | MR

[14] A. Beilinson, J. Bernstein - Localisation de S-modules, Comptes rendus, 292 (1981), 15-18. | Zbl | MR

[15] J. Bernstein - P-invariant distributions on GL (N) and the classification of unitary representations of GL(N) (non-Archimedian Case), in Lie group representations II, Herb ed., Springer Lect. Notes 1041, 1984. | Zbl | MR

[16] A. Borel, N. Wallach - Continuous cohomology, discrete subgroups and representations of reductive groups, Annals of Math. Studies, Princeton U. Press, 1980. | Zbl | MR

[17] W. Casselman - The Hasse - Weil ζ-function of some moduli varieties of dimension greater than one, Proc. Symp. Pure Math. 33 (2) (1979), 141-163. | Zbl

[18] J. Dixmber - Algèbres enveloppantes, Cahiers scientifiques XXXVII, Gauthier-Villars, 1974. | Zbl | MR

[19] M. Duflo - Représentations de carré intégrable des groupes semi-simples réels, Exposé 508, Séminaire Bourbaki, 1977-78, Springer Lect. Notes 710, 1979. | Zbl | MR | Numdam

[20] M. Duflo, M. Vergne - Sur le foncteur de Zuckerman, Comptes rendus, à paraître. | Zbl

[21] T. J. Enright - Relative Lie algebra cohomology and unitary representations of complex Lie groups, Duke Math. J. 46 (1979), 513-525. | Zbl | MR

[22] T. J. Enright, N. Wallach - Notes on homological algebra and representations of Lie algebras, Duke Math. J. 47 (1980), 1-15. | Zbl | MR

[23] R. Howe - V-series and invariant theory, Proc. Symp. Pure Math. 33 (1) (1979), 275-285. | Zbl | MR

[24] R. Howe - On the asymptotic behavior of matrix coefficients, preprint.

[25] R. Godement - Notes on Jacquet - Langlands, Princeton, I.A.S., 1970.

[26] J.-C. Jantzen - Moduln mit einem höchsten Gewicht, Springer Lect. Notes 750, 1980. | Zbl | MR

[27] A. Knapp, B. Speh - The role of basic cases in classification : theorems about unitary representations applicable to S U (N,2), Non commutative harmonic analysis and Lie groups, Springer Lect. Notes 1021, 1983. | Zbl | MR

[28] A. Knapp, E. Stein - Intertwining operators for semi-simple groups II, Invent. Math. 60 (1980), 9-84. | Zbl | MR

[29] A. Knapp, D. Vogan - Duality theorems in relative Lie algebra cohomology, preprint.

[30] A. Knapp, G. Zuckerman - Normalizing factors and L-groups, Proc. Symp. Pure Math. 33 (1) (1979), 93-105. | Zbl | MR

[31] A. Knapp, G. Zuckerman - Classification of irreducible representations of semi-simple groups, Ann. of Math. 116 (1982), 389-501. | Zbl | MR

[32] S. Lang - SL2 (R) , Addison-Wesley, 1975. | MR

[33] R. P. Langlands - On the classification of irreducible representations of real reductive groups, Princeton, I.A.S., 1973.

[34] D. Miličić - Asymptotic behavior of matrix coefficients of the discrete series, Duke Math. J. 44 (1977), 59-88. | Zbl | MR

[35] B. Speh - Some results on principal series for GL(n,R) , thèse, M.I.T., Cambridge, Mass., U.S.A., 1977.

[36] B. Speh - The unitary dual of GL(3,R) and GL(4,R) , Math. Ann. 258 (1981), 113-133. | Zbl | MR

[37] B. Speh - Unitary representations of GL(n,R) with non trivial (g,K)- cohomology, Inv. Math. 71 (1983), 443-465. | Zbl | MR

[38] B. Speh, D. Vogan - Reducibility of generalized principal series representations, Acta Math. 145 (1980), 227-299. | Zbl | MR

[39] M. Tadič - Unitary representations of general linear group over real and complex field, Max Planck Inst. F. Math., 1985.

[40] M. Tadič - On the classification of irreducible unitary representations of GL(n) and the conjectures of Bernstein and Zelevinsky (non-archimedian case), Ann. Sc. E.N.S. (4° sér.) 19 (1986), 335-382. | Zbl | MR | Numdam

[41] D. Vogan - The algebraic structure of the representations of semi-simple Lie groups I, Ann. of Math. 106 (1979), 1-60. | Zbl | MR

[42] D. Vogan - Unitarizability of certain series of representations, Ann. of Math. 120 (1984), 141-187. | Zbl | MR

[43] D. Vogan, G. Zuckerman - Unitary representations with non-zero cohomology, Compositio Math. 53 (1984), 51-90. | Zbl | MR | Numdam

[44] D. Vogan - The unitary dual of GL(n) over an archimedian field, Inventiones Math. 83 (1986), 449-505. | Zbl | MR

[45] N. Wallach - Cyclic vectors and irreducibility for principal series representations, Trans. A.M.S. 158 (1971), 107-113. | Zbl | MR

[46] N. Wallach - On the unitarizability of derived fonctor modules, Inv. Math. 78 (1984), 131-141. | Zbl | MR

[47] A. Weil - Sur certains groupes d'opérateurs unitaires, Acta Math. 111 (1964), 143-211. | Zbl | MR