@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},
author = {Collectif},
series = {Ast\'erisque},
note = {talk:681},
publisher = {Soci\'et\'e math\'ematique de France},
number = {152-153},
year = {1987},
zbl = {0634.22013},
mrnumber = {936857},
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 DA - 1987/// IS - 152-153 PB - Société mathématique de France UR - http://archive.numdam.org/item/SB_1986-1987__29__229_0/ UR - https://zbmath.org/?q=an%3A0634.22013 UR - https://www.ams.org/mathscinet-getitem?mr=936857 LA - fr ID - SB_1986-1987__29__229_0 ER -
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://archive.numdam.org/item/SB_1986-1987__29__229_0/
[1] - Representation theory of semi-simple groups : an overview based on examples, Princeton U. Press, 1986. | MR 855239 | Zbl 0604.22001
[2] - Representations of real reductive Lie groups, Birkhaüser, 1981. | MR 632407 | Zbl 0469.22012
[3] - Real reductive groups, en préparation. | Zbl 0666.22002
[4] - Unitary representations of reductive Lie groups, à paraître dans Annals of Math. Studies, Princeton U. Press. Voici des exposés utiles : | MR 908078 | Zbl 0626.22011
[5] , - Status of classification of irreducible unitary representations, Harmonic Analysis Proceedings, Minneapolis 1981, Springer Lect. Notes 908, 1982. | MR 654177 | Zbl 0496.22018
[6] - Understanding the unitary dual, in Lie groups representations I, Herb ed., Springer Lect. Notes 1024, 1983. | MR 727853 | Zbl 0527.22017
[7] - Representations of reductive Lie groups, International Congress of Mathematicians, Berkeley, 1986 (à paraître). | MR 934226 | Zbl 0681.22013
[8] - On some problems suggested by the Trace Formula, in Lie group representations II, Herb ed., Springer Lect. Notes 1041, 1984. | MR 748504 | Zbl 0541.22011
[9a] , - Indefinite intertwining operators, Proc. Nat. Acad. Sci. USA 81, 1272-1275; [9b] Indefinite intertwining operators II, preprint. | MR 735737 | Zbl 0539.22009
[10] - Unipotent representations and unitarity, preprint, 15 p. (exposé de [11]). | MR 897538
[11] - Unipotent representations of complex semi-simple groups II, 1987.
[12] , - Unipotent representations of complex semi-simple groups, Ann. of Math. 121 (1985), 41-110. | MR 782556 | Zbl 0582.22007
[13] - Irreducible unitary representations of the Lorentz group, Ann. of Math. (2) 48 (1947) , 568-640. | MR 21942 | Zbl 0045.38801
[14] , - Localisation de S-modules, Comptes rendus, 292 (1981), 15-18. | MR 610137 | Zbl 0476.14019
[15] - 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 748505 | Zbl 0541.22009
[16] , - Continuous cohomology, discrete subgroups and representations of reductive groups, Annals of Math. Studies, Princeton U. Press, 1980. | MR 554917 | Zbl 0443.22010
[17] - The Hasse - Weil ζ-function of some moduli varieties of dimension greater than one, Proc. Symp. Pure Math. 33 (2) (1979), 141-163. | Zbl 0415.14011
[18] - Algèbres enveloppantes, Cahiers scientifiques XXXVII, Gauthier-Villars, 1974. | MR 498737 | Zbl 0308.17007
[19] - Représentations de carré intégrable des groupes semi-simples réels, Exposé 508, Séminaire Bourbaki, 1977-78, Springer Lect. Notes 710, 1979. | Numdam | MR 554213 | Zbl 0411.22011
[20] , - Sur le foncteur de Zuckerman, Comptes rendus, à paraître. | Zbl 0617.17007
[21] - Relative Lie algebra cohomology and unitary representations of complex Lie groups, Duke Math. J. 46 (1979), 513-525. | MR 544243 | Zbl 0427.22010
[22] , - Notes on homological algebra and representations of Lie algebras, Duke Math. J. 47 (1980), 1-15. | MR 563362 | Zbl 0429.17012
[23] - V-series and invariant theory, Proc. Symp. Pure Math. 33 (1) (1979), 275-285. | MR 546602 | Zbl 0423.22016
[24] - On the asymptotic behavior of matrix coefficients, preprint.
[25] - Notes on Jacquet - Langlands, Princeton, I.A.S., 1970.
[26] - Moduln mit einem höchsten Gewicht, Springer Lect. Notes 750, 1980. | MR 552943 | Zbl 0426.17001
[27] , - 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 733464 | Zbl 0524.22013
[28] , - Intertwining operators for semi-simple groups II, Invent. Math. 60 (1980), 9-84. | MR 582703 | Zbl 0454.22010
[29] , - Duality theorems in relative Lie algebra cohomology, preprint.
[30] , - Normalizing factors and L-groups, Proc. Symp. Pure Math. 33 (1) (1979), 93-105. | MR 546591 | Zbl 0414.22017
[31] , - Classification of irreducible representations of semi-simple groups, Ann. of Math. 116 (1982), 389-501. | MR 672840 | Zbl 0516.22011
[32] - SL2 (R) , Addison-Wesley, 1975. | MR 430163
[33] - On the classification of irreducible representations of real reductive groups, Princeton, I.A.S., 1973.
[34] - Asymptotic behavior of matrix coefficients of the discrete series, Duke Math. J. 44 (1977), 59-88. | MR 430164 | Zbl 0398.22022
[35] - Some results on principal series for GL(n,R) , thèse, M.I.T., Cambridge, Mass., U.S.A., 1977.
[36] - The unitary dual of GL(3,R) and GL(4,R) , Math. Ann. 258 (1981), 113-133. | MR 641819 | Zbl 0483.22005
[37] - Unitary representations of GL(n,R) with non trivial (g,K)- cohomology, Inv. Math. 71 (1983), 443-465. | MR 695900 | Zbl 0505.22015
[38] , - Reducibility of generalized principal series representations, Acta Math. 145 (1980), 227-299. | MR 590291 | Zbl 0457.22011
[39] - Unitary representations of general linear group over real and complex field, Max Planck Inst. F. Math., 1985.
[40] - 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 870688 | Zbl 0614.22005
[41] - The algebraic structure of the representations of semi-simple Lie groups I, Ann. of Math. 106 (1979), 1-60. | MR 519352 | Zbl 0424.22010
[42] - Unitarizability of certain series of representations, Ann. of Math. 120 (1984), 141-187. | MR 750719 | Zbl 0561.22010
[43] , - Unitary representations with non-zero cohomology, Compositio Math. 53 (1984), 51-90. | Numdam | MR 762307 | Zbl 0692.22008
[44] - The unitary dual of GL(n) over an archimedian field, Inventiones Math. 83 (1986), 449-505. | MR 827363 | Zbl 0598.22008
[45] - Cyclic vectors and irreducibility for principal series representations, Trans. A.M.S. 158 (1971), 107-113. | MR 281844 | Zbl 0227.22016
[46] - On the unitarizability of derived fonctor modules, Inv. Math. 78 (1984), 131-141. | MR 762359 | Zbl 0547.22008
[47] - Sur certains groupes d'opérateurs unitaires, Acta Math. 111 (1964), 143-211. | MR 165033 | Zbl 0203.03305
