@article{PMIHES_2004__99__163_0, author = {Cogdell, J. W. and Kim, H. H. and Piatetski-Shapiro, I. I. and Shahidi, F.}, title = {Functoriality for the classical groups}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {163--233}, publisher = {Springer}, volume = {99}, year = {2004}, doi = {10.1007/s10240-004-0020-z}, mrnumber = {2075885}, zbl = {1090.22010}, language = {en}, url = {http://www.numdam.org/articles/10.1007/s10240-004-0020-z/} }
TY - JOUR AU - Cogdell, J. W. AU - Kim, H. H. AU - Piatetski-Shapiro, I. I. AU - Shahidi, F. TI - Functoriality for the classical groups JO - Publications Mathématiques de l'IHÉS PY - 2004 SP - 163 EP - 233 VL - 99 PB - Springer UR - http://www.numdam.org/articles/10.1007/s10240-004-0020-z/ DO - 10.1007/s10240-004-0020-z LA - en ID - PMIHES_2004__99__163_0 ER -
%0 Journal Article %A Cogdell, J. W. %A Kim, H. H. %A Piatetski-Shapiro, I. I. %A Shahidi, F. %T Functoriality for the classical groups %J Publications Mathématiques de l'IHÉS %D 2004 %P 163-233 %V 99 %I Springer %U http://www.numdam.org/articles/10.1007/s10240-004-0020-z/ %R 10.1007/s10240-004-0020-z %G en %F PMIHES_2004__99__163_0
Cogdell, J. W.; Kim, H. H.; Piatetski-Shapiro, I. I.; Shahidi, F. Functoriality for the classical groups. Publications Mathématiques de l'IHÉS, Tome 99 (2004), pp. 163-233. doi : 10.1007/s10240-004-0020-z. http://www.numdam.org/articles/10.1007/s10240-004-0020-z/
1. The principle of functoriality, Bull. Am. Math. Soc., 40 (2002), 39-53. | MR
,2. Automorphic L-functions, Proc. Symp. Pure Math., 33, part 2 (1979), 27-61. | MR | Zbl
,3. Algèbre Commutative, Ch. 3 et 4, Actualités Scientifiques et Industrielles, no. 1293. Hermann, Paris (1961).
,4. On reducibility of standard modules for generic representations, Ann. Sci. Éc. Norm. Supér., 31 (1998), 561-589. | Numdam | MR | Zbl
and ,5. Dual groups and Langlands Functoriality, An Introduction to the Langlands Program (J. Bernstein and S. Gelbart, eds.). Birkhäuser, Boston (2003), 251-268. | MR | Zbl
,6. On lifting from classical groups to GLN, Publ. Math., Inst. Hautes Étud. Sci., 93 (2001), 5-30. | Numdam | MR | Zbl
, , , and ,7. Converse Theorems for GLn , Publ. Math., Inst. Hautes Étud. Sci., 79 (1994), 157-214. | Numdam | MR | Zbl
and ,8. Stability of gamma factors for SO(2n+1), Manuscr. Math., 95 (1998), 437-461. | MR | Zbl
and ,9. Converse Theorems for GLn , II, J. Reine Angew. Math., 507 (1999), 165-188. | MR | Zbl
and ,10. J. W. Cogdell, I. I. Piatetski-Shapiro, and F. Shahidi, On stability of local γ-factors, in preparation.
11. A relation between automorphic representations of GL(2) and GL(3), Ann. Sci. Éc. Norm. Supér., IV. Sér., 11 (1978), 471-542. | Numdam | MR | Zbl
and ,12. Boundedness of automorphic L-functions in vertical strips, J. Am. Math. Soc., 14 (2001), 79-107. | MR | Zbl
and ,13. Generic automorphic forms on SO(2n+1): functorial lift to GL(2n), endoscopy, and base change, Int. Math. Res. Not., 2001, no. 14 (2001), 729-764. | MR | Zbl
, , and ,14. Zeta Functions of Simple Algebras, Lect. Notes Math., 260. Springer-Verlag, Berlin (1972). | MR | Zbl
and ,15. The Geometry and Cohomology of Some Simple Shimura Varieties, Ann. Math. Stud., 151. Princeton University Press, Princeton (2001). | MR | Zbl
and ,16. Caractérisation de la correspondance de Langlands locale par les facteurs ε de paires, Invent. Math., 113 (1993), 339-350. | Zbl
,17. Une preuve simple des conjectures de Langlands pour GL(n) sur un corps p-adique, Invent. Math., 139 (2000), 439-455. | MR | Zbl
,18. A counter-example to the “generalized Ramanujan conjecture” for (quasi)-split groups, Proc. Symp. Pure Math., 33, part 1 (1979), 315-322. | Zbl
and ,19. Conducteur des représentations du groupe linéaire., Math. Ann., 256 (1981), 199-214. | MR | Zbl
, , and ,20. Rankin-Selberg convolutions, Am. J. Math., 105 (1983), 367-464. | MR | Zbl
, , and ,21. On Euler products and the classification of automorphic representations, Am. J. Math., 103 (1981), 499-558 and 777-815. | Zbl
and ,22. The Whittaker models for induced representations, Pac. J. Math., 109 (1983), 107-120. | MR | Zbl
and ,23. A lemma on highly ramified ε-factors, Math. Ann., 271 (1985), 319-332. | Zbl
and ,24. On square integrable representations of classical p-adic groups, Can. J. Math., 52 (2000), 539-581. | MR | Zbl
,25. On square integrable representations of classical p-adic groups II, Represent. Theory, 4 (2000), 127-180. | MR | Zbl
,26. The local converse theorem for SO(2n+1) and applications, Ann. Math., 157 (2003), 743-806. | MR | Zbl
and ,27. Generic representations and local Langlands reciprocity law for p-adic SO2n+1, Contributions to Automorphic Forms, Geometry and Number Theory (Shalikafest 2002) (H. Hida, D. Ramakrishnan, and F. Shahidi, eds.). Johns Hopkins University Press, Baltimore, to appear. | MR | Zbl
and ,28. Langlands-Shahidi method and poles of automorphic L-functions, II, Isr. J. Math., 117 (2000), 261-284. | MR | Zbl
,29. Residual spectrum of odd orthogonal groups, Int. Math. Res. Not. 2001, no. 17 (2001), 873-906. | MR | Zbl
,30. Applications of Langlands' functoriality of odd orthogonal groups, Trans. Am. Math. Soc., 354 (2002), 2775-2796. | Zbl
,31. On local L-functions and normalized intertwining operators, Can. J. Math., to appear. | MR | Zbl
,32. Functorial products for GL2×GL3 and the symmetric cube for GL2, Ann. Math., 155 (2002), 837-893. | MR | Zbl
and ,33. Chtoucas de Drinfeld at correspondance de Langlands, Invent. Math., 147 (2002) 1-241. | MR | Zbl
,34. On the classification of irreducible representations of real algebraic groups, Representation Theory and Harmonic Analysis on Semisimple Lie Groups, Math. Surv. Monogr., 31. Am. Math. Soc., Providence, RI (1989), 101-170. | MR | Zbl
,35. Automorphic representations, Shimura varieties, and motives. Ein Märchen, Proc. Symp. Pure Math., 33, part 2 (1979), 205-246. | MR | Zbl
,36. Where stands functoriality today, Proc. Symp. Pure Math., 61 (1997), 457-471. | MR | Zbl
,37. On the generalized Ramanujan conjecture for GL(n), Proc. Symp. Pure Math., 66, part 2 (1999), 301-310. | MR | Zbl
, , and ,38. Points de réducibilité pour les induits de cuspidals, preprint (2001). | Zbl
,39. Sur la classification des séries discrètes des groupes classiques p-adiques: paramètres de Langlands et exhaustivité, J. Eur. Math. Soc., 4 (2002), 141-200. | MR | Zbl
,40. Construction of discrete series for p-adic classical groups, J. Am. Math. Soc., 15 (2002), 715-786. | MR | Zbl
and ,41. Le spectre résiduel de GL(n), Ann. Sci. Éc. Norm. Supér., 22 (1989), 605-674. | Numdam | MR | Zbl
and ,42. On generic irreducible representations of Sp(n,F) and SO(2n+1,F), Glas. Mat., III. Ser., 33 (53) (1998), 19-31. | MR | Zbl
,43. Some results on square integrable representations; Irreducibility of standard representations, Int. Math. Res. Not., 1998, no. 14 (1998), 705-726. | MR | Zbl
,44. A proof of Casselman-Shahidi's conjecture for quasi-split classical groups, Can. Math. Bull., 44 (2001), 298-312. | Zbl
,45. Multiplicity one theorems, Proc. Symp. Pure Math., 33, part 1 (1979), 209-212. | MR | Zbl
,46. Estimates for Rankin-Selberg L-functions and quantum unique ergodicity, J. Funct. Anal., 184 (2001), 419-453. | MR | Zbl
,47. Theory of spherical functions on reductive algebraic groups over -adic fields, Publ. Math., Inst. Hautes Étud. Sci., 18 (1963), 5-69. | Numdam | MR | Zbl
,48. On certain L-functions, Am. J. Math., 103 (1981), 297-355. | MR | Zbl
,49. Local coefficients as Artin factors for real groups, Duke Math. J., 52 (1985), 973-1007. | MR | Zbl
,50. On the Ramanujan conjecture and finiteness of poles for certain L-functions, Ann. Math., 127 (1988), 547-584. | MR | Zbl
,51. A proof of Langlands' conjecture on Plancherel measures; complementary series for p-adic groups, Ann. Math., 132 (1990), 273-330. | Zbl
,52. On multiplicativity of local factors, Festschrift in honor of I. I. Piatetski-Shapiro on the occasion of his sixtieth birthday, part II (Ramat Aviv, 1989), Israel Math. Conf. Proc., 3, Weizmann, Jerusalem (1990), 279-289. | MR | Zbl
,53. Twisted endoscopy and reducibility of induced representations for p-adic groups, Duke Math. J., 66 (1992), 1-41. | MR | Zbl
,54. Twists of a general class of L-functions by highly ramified characters, Can. Math. Bull., 43 (2000), 380-384. | MR | Zbl
,55. Local coefficients as Mellin transforms of Bessel functions; Towards a general stability, Int. Math. Res. Not., 2002, no. 39 (2002), 2075-2119. | MR | Zbl
,56. On Langlands functoriality from classical groups to GLn , Astérisque, to appear. | Numdam | MR | Zbl
,57. Lectures on Chevalley Groups. Yale Lecture Notes, New Haven (1967). | MR
,58. Classification of unitary representations in irreducible representations of general linear groups (non-Archimedean case), Ann. Sci. Éc. Norm. Supér., IV. Sér., 19 (1986), 335-382. | Numdam | MR | Zbl
,59. Number theoretic background, Proc. Symp. Pure Math., 33, part 2 (1979), 3-26. | MR | Zbl
,60. Gelfand-Kirillov dimension for Harish-Chandra modules, Invent. Math., 48 (1978), 75-98. | MR | Zbl
,61. Induced representations of reductive -adic groups, II, Ann. Sci. Éc. Norm. Supér., 13 (1980), 165-210. | Numdam | MR | Zbl
,62. The holomorphy and nonvanishing of normalized local intertwining operators, Pac. J. Math., 180 (1997), 386-398. | MR | Zbl
,Cité par Sources :