@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},
year = {1996},
publisher = {Institut des Hautes Etudes Scientifiques},
volume = {83},
mrnumber = {98m:11129},
zbl = {0878.11042},
language = {en},
url = {https://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 Etudes Scientifiques UR - https://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 Etudes Scientifiques %U https://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, Tome 83 (1996), pp. 105-233. https://www.numdam.org/item/PMIHES_1996__83__105_0/
[AC] and , Simple algebras, base change, and the advanced theory of the trace formula, Annals of Math. Studies, 120, Princeton University Press, 1989. | Zbl | MR
[BK1] and , The admissible dual of GL(N) via compact open subgroups, Annals of Math. Studies, 129, Princeton University Press, 1993. | Zbl | MR
[BK2] and , The admissible dual of SL(N) II, Proc. London Math. Soc., (3), 68 (1992), 317-379. | Zbl | MR
[BK3] and , 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. | Zbl | MR
[BK4] and , Semisimple types in GL(N), Preprint, 1995. | Zbl
[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. | Zbl | MR
[Cl] , Characters of non-connected, reductive p-adic groups, Can. J. Math., 39 (1987), 149-167. | Zbl | MR
[DKV] , , , Représentations des algèbres centrales simples p-adiques, in Représentations des groupes réductifs sur un corps local, Hermann, Paris, 1984, 33-117. | Zbl | MR
[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. | Zbl | MR
[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. | Zbl | MR
[G] , Correspondences of characters for relatively prime operator groups, Canad. J. Math., 20 (1968), 1465-1488. | Zbl | MR
[HC1] , Harmonic analysis on reductive p-adic groups (notes by G. VAN DIJK), Lecture Notes in Math., 162, Springer, Berlin, 1970. | Zbl | MR
[HC2] , A submersion principle and its applications, Proc. Ind. Acad. Sci., 90 (1981), 95-102; Collected Papers, IV, Springer, Berlin, 1984, 439-446. | Zbl | MR
[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] and , Automorphic induction for GL(n) (over local non-archimedean fields), Duke Math. J., to appear. | Zbl
[Ho1] , On the character of Weil's representation, Trans. Amer. Math. Soc., 177 (1973), 287-298. | Zbl | MR
[JS] and , On Euler products and the classification of automorphic representations II, Amer. J. Math., 103 (1981), 777-815. | Zbl
[Ko] , Base change for unit elements of Hecke algebras, Compositio Math., 60 (1986), 237-250. | Numdam | MR | EuDML
[K] , The Langlands conjecture for GL2 of a local field, Ann. Math., 112 (1980), 381-412. | Zbl | MR
[KM] and , On the local Langlands conjecture in prime dimension, Ann. Math., 121 (1985), 495-517. | Zbl | MR
[KP] and , The restriction to SL2 of a supercuspidal representation of GL2, Compositio Math., 79 (1991), 139-155. | Numdam | Zbl | MR | EuDML
[L] , Base change for GL(2), Annals of Math. Studies, 96, Princeton, 1980. | Zbl | MR
[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. | Zbl | MR
[RS] and , Some consequences of Harish-Chandra's submersion principle, Proc. Amer. Math. Soc., 118 (1993), 1271-1279. | Zbl | MR
[Ro] , Representations of GL(n) and division algebras over a local field, Duke Math. J., 50 (1983), 161-196. | Zbl | MR
[Sa] , Automorphic forms and algebraic extensions of number fields, Lectures in Math., 8, Kyoto University, 1975. | Zbl | MR
[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. | Zbl | MR
[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. | Zbl | MR
[W] , Exercices dyadiques, Invent. Math., 27 (1974), 1-22; Oeuvres scientifiques, III, Berlin, 1980, 343-364. | Zbl | MR | EuDML
[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. | Numdam | Zbl | MR | EuDML
