@incollection{SB_1977-1978__20__22_0, author = {Duflo, Michel}, title = {Repr\'esentations de carr\'e int\'egrable des groupes semi-simples r\'eels}, booktitle = {S\'eminaire Bourbaki : vol. 1977/78, expos\'es 507-524}, series = {S\'eminaire Bourbaki}, note = {talk:508}, pages = {22--40}, publisher = {Springer-Verlag}, number = {20}, year = {1979}, mrnumber = {554213}, zbl = {0411.22011}, language = {fr}, url = {http://archive.numdam.org/item/SB_1977-1978__20__22_0/} }
TY - CHAP AU - Duflo, Michel TI - Représentations de carré intégrable des groupes semi-simples réels BT - Séminaire Bourbaki : vol. 1977/78, exposés 507-524 AU - Collectif T3 - Séminaire Bourbaki N1 - talk:508 PY - 1979 SP - 22 EP - 40 IS - 20 PB - Springer-Verlag UR - http://archive.numdam.org/item/SB_1977-1978__20__22_0/ LA - fr ID - SB_1977-1978__20__22_0 ER -
%0 Book Section %A Duflo, Michel %T Représentations de carré intégrable des groupes semi-simples réels %B Séminaire Bourbaki : vol. 1977/78, exposés 507-524 %A Collectif %S Séminaire Bourbaki %Z talk:508 %D 1979 %P 22-40 %N 20 %I Springer-Verlag %U http://archive.numdam.org/item/SB_1977-1978__20__22_0/ %G fr %F SB_1977-1978__20__22_0
Duflo, Michel. Représentations de carré intégrable des groupes semi-simples réels, dans Séminaire Bourbaki : vol. 1977/78, exposés 507-524, Séminaire Bourbaki, no. 20 (1979), Exposé no. 508, 19 p. http://archive.numdam.org/item/SB_1977-1978__20__22_0/
[1] Carleman estimates for the Laplace-Beltrami equations on complex manifolds, I.H.E.S. Pub. Math., 25 (1965), 313-362. | EuDML | Numdam | MR | Zbl
et -[2] Elliptic operators, discrete groups and von Neumann algebras, Astérisque 32/33 (1976), 43-72. | Numdam | MR | Zbl
-[3] A new proof of the regularity theorem for invariant eigendistributions on semisimple Lie groups, à paraître
et -[4] A geometric construction of the discrete series for semisimple Lie groups, Inv. Math., 42 (1977), 1-62. | EuDML | MR | Zbl
et -[5] Irreducible unitary representations of the Lorentz group, Ann. of Math., 48 (1947), 568-640. | MR | Zbl
-[6] Compact Clifford-Klein forms of symmetric spaces, Topology, 2 (1963), 111-122. | MR | Zbl
-[7] Seminar notes on the cohomology of discret subgroups of semi-simple groups, à paraître.
et -[8] Fibrés vectoriels holomorphes sur une variété hermitienne, Math. Ann., 205 (1973), 89-112. | Zbl
-[9] Les C*-algèbres et leurs représentations, Gauthier-Villars, Paris 1964. | MR | Zbl
-[10] Algèbres enveloppantes, Gauthier-Villars, Paris, 1974. | MR | Zbl
-[11] Blattner type multiplicity formulas for the fundamental series of a real semisimple Lie algebra, Ann. Sc. Ec. Norm. Sup., XI(1978),fasc.4.
-[12] On a infinitésimal characterization of the discrete series, Ann. of Math., 102 (1975), 1-15. | MR | Zbl
et -[13] Discrete series for semi-simple Lie groups I, II, Acta Math., 113 (1965), 241-318 ; 116 (1966), 1-111. | Zbl
-[14] Harmonic analysis on semi-simple Lie groups, Bull. Amer. Math. Soc., 76 (1970), 529-551. | MR | Zbl
-[15] A proof of Blattner's conjecture, Inventiones Math., 31 (1975), 129-154. | MR | Zbl
et -[16] On integrable representations of a semi-simple Lie group, Math. Annalen, 220(1976), 147-150. | MR | Zbl
et -[17] The characters of the discrete series for semisimple Lie groups, à paraître. | Zbl
-[18] On realization of discrete series for semisimple Lie groups, Proc. Japan Acad., 46 (1970), 993-996. | MR | Zbl
-[19] Multiplicity formulae for discrete series, Inventiones Math., 26 (1974), 133-178. | MR | Zbl
et -[20] Proof of an analogue of a conjecture of Langlands for the "Heisenberg-Weyl" group, Bull. London Math. Soc., 4 (1972), 127-129. | MR | Zbl
-[21] Unitary representation of nilpotent Lie groups, Russ. Math. Surveys, 17 (1962), 53-104. | MR | Zbl
-[22] Szëgo kernels associated with discrete series, Inventiones Math., (1976), 163-200. | MR | Zbl
et -[23] Orbits, symplectic structures, and représentation theory, Proc. U.S.-Japan Seminar Diff. Geometry, Kyoto, Japan 1965. | MR | Zbl
-[24] Dimension of spaces of automorphic forms, Proc. Symposia in Pure Math., IX (1966), 253-257. | MR | Zbl
-[25] On the classification of irreducible representations of real algebraic groups, à paraître. | Zbl
-[26] Asymptotic behaviour of matrix coefficients of the discret series, Duke Math. Journal, 44 (1977), 59-88. | MR | Zbl
-[27] An analogue of the Borel-Weil-Bott theorem for hermitian symmetric pairs of non compact type, Ann. of Math., 91 (1970), 486-511. | MR | Zbl
et -[28] Dirac operator and the discrete series, Ann. of Math., 96 (1972), 1-30. | MR | Zbl
-[29] Unitary representations of a semi-direct product of Lie groups on ∂-cohomology spaces, Math. Annalen, 190 (1971), 177-202. | Zbl
-[30] Homogeneous complex manifolds and representations of semisimple Lie groups, Thesis, Berkeley, 1967. | MR
-[31] On a conjecture of Langlands, Ann. of Math., 93(1971), 1-42 | MR | Zbl
-[32] On the characters of discrete series (the hermitian-symmetric case) Inventiones Math., 30 (1975), 47-144. | MR | Zbl
-[33] Some properties of square integrable representations of semisimple Lie groups, Ann. of Math., 102 (1975), 535-564. | MR | Zbl
-[34] Two character identities for semisimple Lie groups, Lecture Notes in Math., n° 587, 1977, Springer, 196-225. | MR | Zbl
-[35] L2-cohomology and the discrete series, Ann. of Math., 103 (1976), 375-394. | MR | Zbl
-[36] The Embeddings of the discrete series in the principal series for semisimple Lie group of real rank one, Thesis, Rutgers Univ., 1977.
-[37] Asymptotic behaviour of eigenfunctions on a semisimple Lie group ; The discrète spectrum, Acta Math., 129 (1972), 237- 280. | MR | Zbl
et -[38] The theory of characters and the discrete series for semi-simple Lie groups, Proc. Symposia in Pure Math., 26 (1973), 45-99. | MR | Zbl
-[39] Harmonic analysis on real reductive groups, Lecture Notes in Math., n° 576, 1977, 1-521. | MR | Zbl
-[40] A character formula for the discrete series of a semisimple Lie group, Thesis, Columbia Univ., 1977.
-[41] Lie algebra cohomology and the representations of semisimple Lie groups,Thesis, M.I.T., 1976.
-[42] On the Enright-Varadarajan modules : a construction of the discrete series, Ann. Sc. Ec. Norm. Sup., 9 (1976), 81-102. | Numdam | MR | Zbl
-[43] Harmonic analysis on semisimple Lie groups, I et II, Springer Verlag, Berlin, 1972. | Zbl
-[44] Essential self-adjointness for the Dirac operator and its square, Indiana Univ. Math., 22 (1973), 611-640. | MR | Zbl
-[45] Tensor product of finite and infinite dimensional representations of semisimple Lie groups, à paraître dans Annals of Math. | Zbl
-Limit formulas for multiplicities in L2(Γ\G). | Zbl
et -On a fundamental series of representations related to an affine symmetric space. | Zbl
-