@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, 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 | Zbl
-[2] Representations of real reductive Lie groups, Birkhaüser, 1981. | MR | Zbl
-[3] Real reductive groups, en préparation. | Zbl
-[4] Unitary representations of reductive Lie groups, à paraître dans Annals of Math. Studies, Princeton U. Press. Voici des exposés utiles : | MR | Zbl
-[5] Status of classification of irreducible unitary representations, Harmonic Analysis Proceedings, Minneapolis 1981, Springer Lect. Notes 908, 1982. | MR | Zbl
, -[6] Understanding the unitary dual, in Lie groups representations I, Herb ed., Springer Lect. Notes 1024, 1983. | MR | Zbl
-[7] Representations of reductive Lie groups, International Congress of Mathematicians, Berkeley, 1986 (à paraître). | MR | Zbl
-[8] On some problems suggested by the Trace Formula, in Lie group representations II, Herb ed., Springer Lect. Notes 1041, 1984. | MR | Zbl
-[9a] Indefinite intertwining operators, Proc. Nat. Acad. Sci. USA 81, 1272-1275; [9b] Indefinite intertwining operators II, preprint. | MR | Zbl
, -[10] Unipotent representations and unitarity, preprint, 15 p. (exposé de [11]). | MR
-[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 | Zbl
, -[13] Irreducible unitary representations of the Lorentz group, Ann. of Math. (2) 48 (1947) , 568-640. | MR | Zbl
-[14] Localisation de S-modules, Comptes rendus, 292 (1981), 15-18. | MR | Zbl
, -[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 | Zbl
-[16] Continuous cohomology, discrete subgroups and representations of reductive groups, Annals of Math. Studies, Princeton U. Press, 1980. | MR | Zbl
, -[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
-[18] Algèbres enveloppantes, Cahiers scientifiques XXXVII, Gauthier-Villars, 1974. | MR | Zbl
-[19] Représentations de carré intégrable des groupes semi-simples réels, Exposé 508, Séminaire Bourbaki, 1977-78, Springer Lect. Notes 710, 1979. | Numdam | MR | Zbl
-[20] Sur le foncteur de Zuckerman, Comptes rendus, à paraître. | Zbl
, -[21] Relative Lie algebra cohomology and unitary representations of complex Lie groups, Duke Math. J. 46 (1979), 513-525. | MR | Zbl
-[22] Notes on homological algebra and representations of Lie algebras, Duke Math. J. 47 (1980), 1-15. | MR | Zbl
, -[23] V-series and invariant theory, Proc. Symp. Pure Math. 33 (1) (1979), 275-285. | MR | Zbl
-[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 | Zbl
-[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 | Zbl
, -[28] Intertwining operators for semi-simple groups II, Invent. Math. 60 (1980), 9-84. | MR | Zbl
, -[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 | Zbl
, -[31] Classification of irreducible representations of semi-simple groups, Ann. of Math. 116 (1982), 389-501. | MR | Zbl
, -[32] SL2 (R) , Addison-Wesley, 1975. | MR
-[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 | Zbl
-[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 | Zbl
-[37] Unitary representations of GL(n,R) with non trivial (g,K)- cohomology, Inv. Math. 71 (1983), 443-465. | MR | Zbl
-[38] Reducibility of generalized principal series representations, Acta Math. 145 (1980), 227-299. | MR | Zbl
, -[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 | Zbl
-[41] The algebraic structure of the representations of semi-simple Lie groups I, Ann. of Math. 106 (1979), 1-60. | MR | Zbl
-[42] Unitarizability of certain series of representations, Ann. of Math. 120 (1984), 141-187. | MR | Zbl
-[43] Unitary representations with non-zero cohomology, Compositio Math. 53 (1984), 51-90. | Numdam | MR | Zbl
, -[44] The unitary dual of GL(n) over an archimedian field, Inventiones Math. 83 (1986), 449-505. | MR | Zbl
-[45] Cyclic vectors and irreducibility for principal series representations, Trans. A.M.S. 158 (1971), 107-113. | MR | Zbl
-[46] On the unitarizability of derived fonctor modules, Inv. Math. 78 (1984), 131-141. | MR | Zbl
-[47] Sur certains groupes d'opérateurs unitaires, Acta Math. 111 (1964), 143-211. | MR | Zbl
-