@article{ASENS_1998_4_31_4_561_0, author = {Casselman, William and Shahidi, Freydoon}, title = {On irreducibility of standard modules for generic representations}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {561--589}, publisher = {Elsevier}, volume = {Ser. 4, 31}, number = {4}, year = {1998}, doi = {10.1016/s0012-9593(98)80107-9}, mrnumber = {99f:22028}, zbl = {0947.11022}, language = {en}, url = {http://www.numdam.org/articles/10.1016/s0012-9593(98)80107-9/} }
TY - JOUR AU - Casselman, William AU - Shahidi, Freydoon TI - On irreducibility of standard modules for generic representations JO - Annales scientifiques de l'École Normale Supérieure PY - 1998 SP - 561 EP - 589 VL - 31 IS - 4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/s0012-9593(98)80107-9/ DO - 10.1016/s0012-9593(98)80107-9 LA - en ID - ASENS_1998_4_31_4_561_0 ER -
%0 Journal Article %A Casselman, William %A Shahidi, Freydoon %T On irreducibility of standard modules for generic representations %J Annales scientifiques de l'École Normale Supérieure %D 1998 %P 561-589 %V 31 %N 4 %I Elsevier %U http://www.numdam.org/articles/10.1016/s0012-9593(98)80107-9/ %R 10.1016/s0012-9593(98)80107-9 %G en %F ASENS_1998_4_31_4_561_0
Casselman, William; Shahidi, Freydoon. On irreducibility of standard modules for generic representations. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 31 (1998) no. 4, pp. 561-589. doi : 10.1016/s0012-9593(98)80107-9. http://www.numdam.org/articles/10.1016/s0012-9593(98)80107-9/
[1] Intertwining operators and residues I. Weighted characters, (J. Funct. Anal., Vol. 84, 1989, pp. 19-84). | MR | Zbl
,[2] Whittaker models with an Iwahori fixed vector, Representation theory and analysis on homogeneous spaces, (AMS, Rhode Island 1994, pp. 101-105). | MR | Zbl
and ,[3] Induced representations of reductive p-adic groups I, (Ann. Scient. Éc. Norm. Sup., Vol. 10, 1977, pp. 441-472). | Numdam | MR | Zbl
and ,[4] Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups, (Annals of Math. Studies, Vol. 94, 1980, Princeton University Press, Princeton). | MR | Zbl
and ,[5] Introduction to the theory of admissible representations of p-adic reductive groups, preprint.
,[6] Canonical extensions of Harish-Chandra modules, (Cand. J. Math., Vol. 41, 1989, pp. 315-438). | MR | Zbl
,[7]
, Letter to Harish-Chandra, November 1982.[8] The unramified principal series of p-adic groups II, The Whittaker function, (Comp. Math., Vol. 41, 1980, pp. 207-231). | Numdam | MR | Zbl
and ,[9] Converse theorems for GLn, (Publ. Math. I.H.E.S., Vol. 79, 1994, pp. 157-214). | Numdam | MR | Zbl
and ,[10] On local coefficients for nongeneric representations of some classical groups, Comp. Math., to appear. | Zbl
and ,[11] Explicit construction of automorphic L-functions, (Lecture Notes in Math 1254, Springer-Verlag, 1987). | MR | Zbl
, , and ,[12] Harmonic analysis on real reductive groups III. The Maass-Selberg relations and the Plancherel formula, (Annals of Math., Vol. 104, 1976, pp. 117-201). | MR | Zbl
,[13] 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, 1990, pp. 125-207). | MR | Zbl
and ,[14] The Whittaker models for induced representations, (Pacific J. Math., Vol. 109, 1983, pp. 107-120). | MR | Zbl
and ,[15] Residual spectrum for Sp4, (Comp. Math., Vol. 99, 1995, pp. 129-151). | Numdam | Zbl
,[16] Intertwining operators for semisimple groups II, (Invent. Math., Vol. 60, 1980, pp. 9-84). | MR | Zbl
and ,[17] 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, 1989, pp. 101-170). | MR | Zbl
,[18] On Artin's L-functions, (Rice University Studies, Vol. 56, 1970, pp. 23-28). | Zbl
,[19] On the functional equations satisfied by Eisenstein series, (Lecture Notes in Math., Vol. 544, Springer-Verlag, 1976). | MR | Zbl
,[20] Some results on the unramified principal series of p-adic groups, (Math. Ann., Vol. 292, 1992, pp. 747-761). | MR | Zbl
,[21] Le spectre résiduel de GL(n), (Ann. Scient. Éc. Norm. Sup., Vol. 22, 1989, pp. 605-674). | Numdam | MR | Zbl
and ,[22] p-adic Whittaker functions and vector bundles on flag manifolds, (Comp. Math., Vol. 85, 1993, pp. 9-36). | Numdam | MR | Zbl
,[23] A proof of Langlands' conjecture on Plancherel measures ; Complementary series for p-adic groups, (Ann. of Math., Vol. 132, 1990, pp. 273-330). | MR | Zbl
,[24] Local coefficients as Artin factors for real groups, (Duke Math. J., Vol. 52, 1985, pp. 973-1007). | MR | Zbl
,[25] On certain L-functions, (Amer. J. Math., Vol. 103, 1981, pp. 297-356). | MR | Zbl
,[26] 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, 1990, pp. 279-289). | MR | Zbl
,[27] Twisted endoscopy and reducibility of induced representations for p-adic groups, (Duke Math. J., Vol. 66, 1992, pp. 1-41). | MR | Zbl
,[28] The Langlands quotient theorem for p-adic groups, (Math. Ann., Vol. 236, 1978, pp. 95-104). | MR | Zbl
,[29] Introduction to Harmonic Analysis on Reductive p-adic Groups, Math. Notes of Princeton University Press, Vol. 23, Princeton, 1979. | MR | Zbl
,[30] Rankin-Selberg convolutions for SO2l+1 × GLn : Local theory, preprint.
,[31] On the archimedean theory of Rankin-Selberg Convolutions for SO2l+1 × GLn, (Ann. Scient. Éc. Norm. Sup., Vol. 28, 1995, pp. 161-224). | Numdam | MR | Zbl
,[32] Some results on principal series for GL(n, ℝ), Ph.D. Dissertation, (Massachusetts Institute of Technology, June, 1977).
,[33] Reducibility of generalized principal series representations, (Acta Math., Vol. 145, 1980, pp. 227-299). | MR | Zbl
and ,[34] On regular square integrable representations of p-adic groups, Amer. J. Math., Vol. 120, 1997, pp. 159-210. | MR | Zbl
,[35] Construction of square integrable representations of classical p-adic groups, (Mathematica Gottingensis Schriftenreihe des Sonderforschungsbereichs Geometrie und Analysis, Heft, Vol. 11, 1993, pp. 1-48.20).
,[36] Square integrable representations of classical p-adic groups of segment type, (Mathematica Gottingensis Schriftenreihe des Sonderforschungsbereichs Geometrie und Analysis, Heft, Vol. 15, 1994, pp. 1-16).
,[37] Gelfand-Kirillov dimension for Harish-Chandra modules, (Invent. Math., Vol. 48, 1978, pp. 75-98). | MR | Zbl
,[38] Unitarizability of certain series of representations, (Ann. of Math., Vol. 120, 1984, pp. 141-187). | MR | Zbl
,[39] Representations of real reductive Lie groups, Birkhauser, Boston, 1981. | MR | Zbl
,[40] 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, 1983, pp. 287-369). | MR | Zbl
,[41] Induced representations of reductive p-adic groups II, on irreducible representations of GL(n), (Ann. Scient. Éc. Norm. Sup., Vol. 13, 1980, pp. 165-210). | Numdam | MR | Zbl
,[42] Some results on square integrable representations ; Irreducibility of standard representations, preprint.
,[43] The holomorphy and nonvanishing of normalized local intertwining operators, (Pacific J. Math., Vol. 180, 1997, pp. 385-398). | MR | Zbl
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