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Table des matières de ce fascicule | Article précédent | Article suivant Casselman, William; Shahidi, Freydoon On irreducibility of standard modules for generic representations. Annales scientifiques de l'École Normale Supérieure, Sér. 4, 31 no. 4 (1998), p. 561-589 Texte intégral djvu | pdf | Analyses MR 99f:22028 | Zbl 0947.11022 | 2 citations dans Numdam URL stable: http://www.numdam.org/item?id=ASENS_1998_4_31_4_561_0 Bibliographie [2] D. BARBASCH and A. MOY, Whittaker models with an Iwahori fixed vector, Representation theory and analysis on homogeneous spaces, (AMS, Rhode Island [3] I. N. BERNSTEIN and A. V. ZELEVINSKY, Induced representations of reductive p-adic groups I, (Ann. Scient. Éc. Norm. Sup., Vol. 10, Numdam | MR 58 #28310 | Zbl 0412.22015 [4] A. BOREL and N. WALLACH, Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups, (Annals of Math. Studies, Vol. 94, [5] W. CASSELMAN, Introduction to the theory of admissible representations of p-adic reductive groups, preprint. [6] W. CASSELMAN, Canonical extensions of Harish-Chandra modules, (Cand. J. Math., Vol. 41, [7] W. CASSELMAN, Letter to Harish-Chandra, November [8] W. CASSELMAN and J.A. SHALIKA, The unramified principal series of p-adic groups II, The Whittaker function, (Comp. Math., Vol. 41, Numdam | MR 83i:22027 | Zbl 0472.22005 [9] J. W. COGDELL and I. I. PIATETSKI-SHAPIRO, Converse theorems for GLn, (Publ. Math. I.H.E.S., Vol. 79, Numdam | MR 95m:22009 | Zbl 0814.11033 [10] S. FRIEDBERG and D. GOLDBERG, On local coefficients for nongeneric representations of some classical groups, Comp. Math., to appear. arXiv | Zbl 0938.22018 [11] S. GELBART, I. I. PIATETSKI-SHAPIRO, and S. RALLIS, Explicit construction of automorphic L-functions, (Lecture Notes in Math 1254, Springer-Verlag, [12] HARISH-CHANDRA, Harmonic analysis on real reductive groups III. The Maass-Selberg relations and the Plancherel formula, (Annals of Math., Vol. 104, [13] H. JACQUET and J. A. SHALIKA, Rankin Selberg Convolutions : Archimedean theory, in Festschrift in Honor of I.I. PIATETSKI-SHAPIRO, Part I, Editors : S. GELBART, R. HOWE, and P. SARNAK, (Israel Math. Conf. Proc., Vol. 2, Weizmann, Jerusalem, [14] H. JACQUET and J. A. SHALIKA, The Whittaker models for induced representations, (Pacific J. Math., Vol. 109, Article | MR 85h:22023 | Zbl 0535.22017 [15] H. KIM, Residual spectrum for Sp4, (Comp. Math., Vol. 99, Numdam | Zbl 0877.11030 [16] A.W. KNAPP and E.M. STEIN, Intertwining operators for semisimple groups II, (Invent. Math., Vol. 60, [17] R. P. LANGLANDS, On the classification of irreducible representations of real algebraic groups, in (Representation Theory and Harmonic Analysis on Semisimple Lie Groups, Editors P.J. SALLY, Jr. and D.A. VOGAN, Mathematical Surveys and Monographs, AMS, Vol. 31, [18] R. P. LANGLANDS, On Artin's L-functions, (Rice University Studies, Vol. 56, [19] R. P. LANGLANDS, On the functional equations satisfied by Eisenstein series, (Lecture Notes in Math., Vol. 544, Springer-Verlag, [20] J.-S. LI, Some results on the unramified principal series of p-adic groups, (Math. Ann., Vol. 292, [21] C. MOEGLIN and J.-L. WALDSPURGER, Le spectre résiduel de GL(n), (Ann. Scient. Éc. Norm. Sup., Vol. 22, Numdam | MR 91b:22028 | Zbl 0696.10023 [22] M. REEDER, p-adic Whittaker functions and vector bundles on flag manifolds, (Comp. Math., Vol. 85, Numdam | MR 93m:22020 | Zbl 0819.22012 [23] F. SHAHIDI, A proof of Langlands' conjecture on Plancherel measures ; Complementary series for p-adic groups, (Ann. of Math., Vol. 132, [24] F. SHAHIDI, Local coefficients as Artin factors for real groups, (Duke Math. J., Vol. 52, Article | MR 87m:11049 | Zbl 0674.10027 [25] F. SHAHIDI, On certain L-functions, (Amer. J. Math., Vol. 103, [26] F. SHAHIDI, On multiplicativity of local factors, in (Festschrift in Honor of I.I. Piatetski-Shapiro, Part II, Editors : S. GELBART, R. HOWE, and P. SARNAK, Israel Math. Conf. Proc., Vol. 3, Weizmann, Jerusalem, [27] F. SHAHIDI, Twisted endoscopy and reducibility of induced representations for p-adic groups, (Duke Math. J., Vol. 66, Article | MR 93b:22034 | Zbl 0785.22022 [28] A. SILBERGER, The Langlands quotient theorem for p-adic groups, (Math. Ann., Vol. 236, [29] A. SILBERGER, Introduction to Harmonic Analysis on Reductive p-adic Groups, Math. Notes of Princeton University Press, Vol. 23, Princeton, [30] D. SOUDRY, Rankin-Selberg convolutions for SO2l+1 × GLn : Local theory, preprint. [31] D. SOUDRY, On the archimedean theory of Rankin-Selberg Convolutions for SO2l+1 × GLn, (Ann. Scient. Éc. Norm. Sup., Vol. 28, Numdam | MR 96m:11043 | Zbl 0824.11034 [32] B. SPEH, Some results on principal series for GL(n, ℝ), Ph.D. Dissertation, (Massachusetts Institute of Technology, June, [33] B. SPEH and D. VOGAN, Reducibility of generalized principal series representations, (Acta Math., Vol. 145, [34] M. TADIĆ, On regular square integrable representations of p-adic groups, Amer. J. Math., Vol. 120, [35] M. TADIĆ, Construction of square integrable representations of classical p-adic groups, (Mathematica Gottingensis Schriftenreihe des Sonderforschungsbereichs Geometrie und Analysis, Heft, Vol. 11, [36] M. TADIĆ, Square integrable representations of classical p-adic groups of segment type, (Mathematica Gottingensis Schriftenreihe des Sonderforschungsbereichs Geometrie und Analysis, Heft, Vol. 15, [37] D. VOGAN, Gelfand-Kirillov dimension for Harish-Chandra modules, (Invent. Math., Vol. 48, [38] D. VOGAN, Unitarizability of certain series of representations, (Ann. of Math., Vol. 120, [39] D. VOGAN, Representations of real reductive Lie groups, Birkhauser, Boston, [40] N.R. WALLACH, Asymptotic expansions of generalized matrix entries of representations of real reductive groups, in (Lie Group Representations I, Lecture Notes in Math., Vol. 1024, Springer-Verlag, [41] A.V. ZELEVINSKY, Induced representations of reductive p-adic groups II, on irreducible representations of GL(n), (Ann. Scient. Éc. Norm. Sup., Vol. 13, Numdam | MR 83g:22012 | Zbl 0441.22014 [42] G. MUIĆ, Some results on square integrable representations ; Irreducibility of standard representations, preprint. [43] Y. ZHANG, The holomorphy and nonvanishing of normalized local intertwining operators, (Pacific J. Math., Vol. 180, |
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