@article{PMIHES_1996__83__105_0, author = {Bushnell, Colin J. and Henniart, Guy}, title = {Local tame lifting for $GL(N)$. {I} : simple characters}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {105--233}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {83}, year = {1996}, mrnumber = {98m:11129}, zbl = {0878.11042}, language = {en}, url = {http://www.numdam.org/item/PMIHES_1996__83__105_0/} }
TY - JOUR AU - Bushnell, Colin J. AU - Henniart, Guy TI - Local tame lifting for $GL(N)$. I : simple characters JO - Publications Mathématiques de l'IHÉS PY - 1996 SP - 105 EP - 233 VL - 83 PB - Institut des Hautes Études Scientifiques UR - http://www.numdam.org/item/PMIHES_1996__83__105_0/ LA - en ID - PMIHES_1996__83__105_0 ER -
%0 Journal Article %A Bushnell, Colin J. %A Henniart, Guy %T Local tame lifting for $GL(N)$. I : simple characters %J Publications Mathématiques de l'IHÉS %D 1996 %P 105-233 %V 83 %I Institut des Hautes Études Scientifiques %U http://www.numdam.org/item/PMIHES_1996__83__105_0/ %G en %F PMIHES_1996__83__105_0
Bushnell, Colin J.; Henniart, Guy. Local tame lifting for $GL(N)$. I : simple characters. Publications Mathématiques de l'IHÉS, Volume 83 (1996), pp. 105-233. http://www.numdam.org/item/PMIHES_1996__83__105_0/
[AC] Simple algebras, base change, and the advanced theory of the trace formula, Annals of Math. Studies, 120, Princeton University Press, 1989. | MR | Zbl
and ,[BK1] The admissible dual of GL(N) via compact open subgroups, Annals of Math. Studies, 129, Princeton University Press, 1993. | MR | Zbl
and ,[BK2] The admissible dual of SL(N) II, Proc. London Math. Soc., (3), 68 (1992), 317-379. | MR | Zbl
and ,[BK3] Simple types in GL(N) : computing conjugacy classes, in Representation theory and analysis on homogeneous spaces (S. GINDIKIN et al., eds), Contemp. Math., 177, Amer. Math. Soc., 1995, 107-135. | MR | Zbl
and ,[BK4] Semisimple types in GL(N), Preprint, 1995. | Zbl
and ,[Ca] Representations of p-adic groups : a survey, in Automorphic forms, representations and L-functions (A. BOREL and W. CASSELMAN, ed.), Proc. Symposia in Pure Math., XXXIII, part 1, Amer. Math. Soc. (Providence RI), 1979, 111-156. | MR | Zbl
,[Cl] Characters of non-connected, reductive p-adic groups, Can. J. Math., 39 (1987), 149-167. | MR | Zbl
,[DKV] Représentations des algèbres centrales simples p-adiques, in Représentations des groupes réductifs sur un corps local, Hermann, Paris, 1984, 33-117. | MR | Zbl
, , ,[Fl] Decomposition of representations into tensor products, in Automorphic forms, representations and L-functions (A. BOREL and W. CASSELMAN, ed.), Proc. Symposia in Pure Math., XXXIII, part 1, Amer. Math. Soc. (Providence RI), 1979, 179-183. | MR | Zbl
,[F] Local fields, in Algebraic Number Theory (J. CASSELS and A. FRÖHLICH, ed.), London, 1967, 1-41.
,[Ge] Weil representations associated to finite fields, J. Alg., 46 (1977), 54-101. | MR | Zbl
,[G] Correspondences of characters for relatively prime operator groups, Canad. J. Math., 20 (1968), 1465-1488. | MR | Zbl
,[HC1] Harmonic analysis on reductive p-adic groups (notes by G. VAN DIJK), Lecture Notes in Math., 162, Springer, Berlin, 1970. | MR | Zbl
,[HC2] A submersion principle and its applications, Proc. Ind. Acad. Sci., 90 (1981), 95-102; Collected Papers, IV, Springer, Berlin, 1984, 439-446. | MR | Zbl
,[HC3] Admissible invariant distributions on reductive p-adic groups, in Lie theories and their applications, Queen's papers in pure and applied math., 48, Queen's University, Kingston Ontario, 1978, 281-347; Collected Papers, IV, Springer, Berlin, 1984, 371-437. | Zbl
,[HH] Automorphic induction for GL(n) (over local non-archimedean fields), Duke Math. J., to appear. | Zbl
and ,[Ho1] On the character of Weil's representation, Trans. Amer. Math. Soc., 177 (1973), 287-298. | MR | Zbl
,[JS] On Euler products and the classification of automorphic representations II, Amer. J. Math., 103 (1981), 777-815. | Zbl
and ,[Ko] Base change for unit elements of Hecke algebras, Compositio Math., 60 (1986), 237-250. | EuDML | Numdam | MR
,[K] The Langlands conjecture for GL2 of a local field, Ann. Math., 112 (1980), 381-412. | MR | Zbl
,[KM] On the local Langlands conjecture in prime dimension, Ann. Math., 121 (1985), 495-517. | MR | Zbl
and ,[KP] The restriction to SL2 of a supercuspidal representation of GL2, Compositio Math., 79 (1991), 139-155. | EuDML | Numdam | MR | Zbl
and ,[L] Base change for GL(2), Annals of Math. Studies, 96, Princeton, 1980. | MR | Zbl
,[L2] On the notion of an automorphic representation, in Automorphic forms, representations and L-functions (A. BOREL and W. CASSELMAN, ed.), Proc. Symposia in Pure Math., XXXIII, part 1, Amer. Math. Soc. (Providence RI), 1979, 203-207. | Zbl
,[Pa] Liftings of supercuspidal representations of GL2, Pacific J. Math., 116 (1985), 307-351. | MR | Zbl
,[RS] Some consequences of Harish-Chandra's submersion principle, Proc. Amer. Math. Soc., 118 (1993), 1271-1279. | MR | Zbl
and ,[Ro] Representations of GL(n) and division algebras over a local field, Duke Math. J., 50 (1983), 161-196. | MR | Zbl
,[Sa] Automorphic forms and algebraic extensions of number fields, Lectures in Math., 8, Kyoto University, 1975. | MR | Zbl
,[Sy] Some remarks on discrete series characters for reductive p-adic groups, in Representations of Lie groups, Adv. Studies in Pure Math., 14, Kyoto, 1986, 337-348. | MR | Zbl
,[Sh] On liftings of holomorphic cusp forms, in Automorphic forms, representations and L-functions (A. BOREL and W. CASSELMAN, ed.), Proc. Symposia Pure Math., XXXIII, part 2, Amer. Math. Soc. (Providence, RI), 1979, 97-110. | MR | Zbl
,[W] Exercices dyadiques, Invent. Math., 27 (1974), 1-22; Oeuvres scientifiques, III, Berlin, 1980, 343-364. | EuDML | MR | Zbl
,[Ze] Induced representations of reductive p-adic groups II: On irreducible representations of GL(n), Ann. Scient. Éc. Norm. Sup. (4), 13 (1980), 165-210. | EuDML | Numdam | MR | Zbl
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