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), Talk no. 681, 24 p.
@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},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {152-153},
     year = {1987},
     mrnumber = {936857},
     zbl = {0634.22013},
     language = {fr},
     url = {http://archive.numdam.org/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://archive.numdam.org/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://archive.numdam.org/item/SB_1986-1987__29__229_0/
%G fr
%F SB_1986-1987__29__229_0
Clozel, Laurent. Progrès récents vers la classification du dual unitaire des groupes réductifs réels, in Séminaire Bourbaki : volume 1986/87, exposés 669-685, Astérisque, no. 152-153 (1987), Talk no. 681, 24 p. http://archive.numdam.org/item/SB_1986-1987__29__229_0/

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

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

[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 : | MR | Zbl

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

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

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

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

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

[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. | MR | Zbl

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

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

[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. | MR | Zbl

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

[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. | MR | Zbl

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

[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. | MR | Zbl

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

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

[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. | MR | Zbl

[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. | MR | Zbl

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

[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. | MR | Zbl

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

[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. | MR | Zbl

[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. | MR | Zbl

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

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

[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. | Numdam | MR | Zbl

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

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

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

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

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

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

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