@book{MSMF_1983_2_11-12__1_0,
author = {Henniart, Guy},
title = {La conjecture de {Langlands} locale pour $GL(3)$},
series = {M\'emoire de la Soci\'et\'e math\'ematique de France},
year = {1983},
publisher = {Soci\'et\'e math\'ematique de France},
number = {11-12},
doi = {10.24033/msmf.295},
mrnumber = {750329},
zbl = {0577.12011},
language = {fr},
url = {https://www.numdam.org/item/MSMF_1983_2_11-12__1_0/}
}
TY - BOOK AU - Henniart, Guy TI - La conjecture de Langlands locale pour $GL(3)$ T3 - Mémoire de la Société mathématique de France PY - 1983 IS - 11-12 PB - Société mathématique de France UR - https://www.numdam.org/item/MSMF_1983_2_11-12__1_0/ DO - 10.24033/msmf.295 LA - fr ID - MSMF_1983_2_11-12__1_0 ER -
Henniart, Guy. La conjecture de Langlands locale pour $GL(3)$. Mémoire de la Société mathématique de France, Nouvelle série, no. 11-12 (1983), 188 p. doi: 10.24033/msmf.295
[Art1] : Eisenstein series and the trace formula, in [Co], Part , pp. 253-274. | Zbl | MR
[Ar2] : A trace formula for reductive groups I : terms associated to classes in G(q), Duke Math. J. vol. 45 no 4, pp. 911-952 (1978). | Zbl | MR
[Bo] et alii : Seminar on algebraic groups and related finite groups, Lecture Notes in Mathematics no 131, Srpinger-Verlag (1972). | Zbl
[Ca] : Representations cuspidales du groupe linéaire, prépublication Université Paris VII (1982).
[Ct1] : Représentations of P-adic groups : a survey, in [Co], Part 1, pp. 111-156. | Zbl
[Ct2] : La conjecture locale de Langlands pour et la démonstration de Ph. Kutzko, Séminaire Bourbaki 1979/80, exposé no 550, Lect. Notes in Math. no 842, Springer-Verlag (1981). | Zbl | Numdam
[Ct3] : Fonction L d'Artin : théorie locale (Cours 1977/1978 rédigé par Guy Henniart), prépublicaiton IHES (1980).
[Cas] : Introduction to the theory admissible representation of P-adic reductive groups, notes polycopiées (1977).
[Co] : Automorphic forms, representations and L-functions, Proc. Sym. pure Math. vol. 33, AMS, Providence (1979).
[De1] : Les constantes des équations fonctionnelles des fonctions L, in Modular functions of one variable II, Lect. Notes in Math. no 349, Springer-Verlag (1973). | Zbl
[De2] : Formes modulaires et représentations de GL(2), in Modular functions of one variable II, Lect. Notes in Math. no 349, Springer-Verlag (1973). | Zbl
[De3] : Lettre à R. P. Langlands, datée du 21 mars 1977.
[DH] et : Sur la variation, par torsion, des constantes locales d'équations fonctionnelles de fonctions L, Inv. Math. 64, pp. 89-118 (1981). | Zbl | MR
[DK] et : On representation of local division algebras, prépublication 1982.
[DL] et : Representations of reductive groups over finite fields, Ann. of Math. 103, pp. 103-161 (1976). | Zbl | MR
[Fa] : A comparison of the automorphic representation of GL(3) and its twisted forms, Pacific J. of Math. 97, pp. 373-402. | Zbl | MR
[Fk] : The trace formula and base change for GL(3), Lect. Notes in Math. no 927, Springer Verlag (1982). | Zbl | MR
[GeJ] et : A relation between automorphic representaton of GL(2) and GL(3), Ann. Scient. Ec. Norm. 4ème série, t. 11, pp. 471-542 (1978). | Zbl | MR | Numdam
[GGP] : Representation theory and automorphic functions, W. B. Saunders Company, Philadelphia (1969). | Zbl
[Ge1] : Cuspidal unramified series for central simple algebras over local fields, in [Co], Part I, pp. 157-170.
[Ge2] : Weil representations associated to finite fields, Journal of Algebra, vol. 46, no 1, pp. 54-101 (1977). | Zbl | MR
[GeK] et : Facteurs locaux pour GL(2), Ann. Scient. E.N.S., t. 13, pp. 349-384. | Zbl | MR | Numdam
[GeL] et : The solution of a base change problem for GL(2), in [Co], Part II, pp. 115-133. | Zbl
[Go] : Domaines fondamentaux des groupes arithmétiques, séminaire Bourbaki no 257 (1963). | Zbl | Numdam
[GJ] et : Zeta functions of simple algebras, Lect. Notes in Math. no 260, Springer-Verlag (1972). | Zbl | MR
[Ha] : Minkowskische Reduktionstheorie über Funktionenkörpern, Inv. Math. 7, pp. 33-54 (1969). | Zbl | MR
[HC] : Harmonic analysis on reductive p-adic groups, notes by G. van Dijk, Lect. Notes in Math. no 162, Springer-Verlag (1970). | Zbl | MR
[He] : Représentation du groupe de Weil d'un corps local, l'Enseign. Math. t. 26, pp. 155-172 (1980). | Zbl | MR
[Ho1] : The Fourier transform and g erms of characters, (case of GLn over a p-adic field), Math. Ann. 208, pp. 305-322 (1974). | Zbl | MR
[Ho2] : Addendum à l'article précédent, à paraître.
[Ja1] : Principal L-functions of the linear group, in [Co], Part 2, pp. 63-86. | Zbl | MR
[Ja2] : Generic representation, in Non commutative harmonic analysis, Lect. Notes in Math. no 587, Springer-Verlag (1977). | Zbl | MR
[Ja3] : Lettre à l'auteur, datée du 13 mars 1981.
[JL] : Automorphic forms on GL(2), Lect. Notes in Math. n° 114, Springer-Verlag (1970). | Zbl | MR
[JPS1] : Automorphic forms on GL(3), Ann. of Math. n° 109, pp. 169-258 (1979). | Zbl | MR
[JPS2] : Facteurs L et ε du groupe linéaire C.R.A.S. Paris t. 289, pp. 59-61 (1979).
[JPS3] : Conducteur des représentations du groupe linéaire, Math. Ann. 256, pp. 199-214 (1981). | Zbl | MR
[JPS4] : Facteurs L et ε du groupe linéaire : théorie archimédienne, C.R.A.S. Paris t. 293, pp. 13-18 (1981).
[JPS5] : Relèvement cubique non normal, C.R.A.S. Paris t. 292, pp. 567-571 (1981). | Zbl | MR
[JS] : : On Euler products and the classification of automorphic I, II, Am. J. of Math. vol. 103, pp. 499-558 et pp. 777-815 (1981). | Zbl | MR
[Ko1] : Classification of the primitive representations of the Galois group of local fields, Inv. Math. 40, pp. 195-216 (1977). | Zbl | MR
[Ko2] : On the local Langlands conjecture for central division algebras of index p, Inv. Math. 62, pp. 243-268 (1980). | Zbl | MR
[KoZ] : Zur Korrespondenz von Darstellungen der Galois-gruppen und der zentralen Divisionalgebren über lokalen Körpern, Math. Nachr. 98, pp. 83-119 (1980). | Zbl | MR
[Ku1] : The irreductible imprimitive local Galois representations of prime dimension, J. of Algebra 57, pp. 101-110 (1979). | Zbl
[Ku2] : The Langlands conjecture for GL(2) of a local field Ann. of Math. 112, pp. 381-412 (1980). | Zbl | MR
[Lg] : Algebraic Number Theory, Addison-Wesley, Reading, 1970. | Zbl | MR
[La1] : On the classification of irreducible representations of real reductive groups, notes miméographiées, I.A.S., Princeton (1973).
[La2] : On the functional equations satisfied by Eisenstein series, Lect. Notes in Math. n° 544, Springer-Verlag (1976). | Zbl | MR
[La3] : Base change for GL(2), Ann. of Math. studies n° 93, Princeton (1980). | Zbl | MR
[Mi] : Finite groups of linear homogeneous transformations, (by H.F. Blichtfeld) in Theory and applications of finite groups, Dover, New York (1961).
[Mo] : Local constants and the tame Langlands correspondence Ph. D. Dissertation, Chicago (1982).
[Ro1] : An application of the building to orbital integrals, Comp. Math. 42, pp. 417-423 (1981). | Zbl | MR | Numdam
[Ro2] : Representations of GL(n) and division algebras over a p-adic field, prépublication (1981).
[Se1] : Corps locaux, Hermann, Paris (1968). | Zbl | MR
[Se2] : Représentations linéaires des groupes finis, Hermann, Paris (1971). | Zbl | MR
[Sk] : A theorem on semi-simple p-adic groups, Ann. of Math. 95, pp. 226-242 (1972). | Zbl | MR
[Ta] : Number theoretic background in [Co], Part II, pp. 3-26 | Zbl | MR
[Tu1] : On the local Langlands conjecture for GL(2), Inv. Math. 46, pp. 179-200 (1978). | Zbl | MR
[Tu2] : Report on the local Langlands conjecture for GL(2), in [Co], Part II, pp. 135-138. | Zbl | MR
[Tu3] : Artin's conjecture for representations of octahedral type B.A.M.S. vol. 5, n° 2, pp. 173-175 (1981). | Zbl | MR
[Vi] : Représentation des algèbres centrales simples sur un corps local non archimédien, prépublication (1982).
[Wa] : Selberg's trace formula for non-uniform lattices : the R- rank one case, in Studies in Algebra and number theory, Advances in Math. Suppl. studies, vol. 6, pp. 1-141 (1979). | Zbl | MR
[We] : Basic number theory, Springer-Verlag, Berlin (1973). | Zbl
[We2] : Sur les courbes algébriques et les variétés qui s'en s'en déduisent. Hermann, Paris, 1948. | Zbl | MR
[Z] : Induced representations for reductive p-adic groups II. On irreducible representations of GL(n), Ann. Scient. E.N.S. 4ème série, t. 13, pp. 165-210 (1980). | Zbl | MR | Numdam
[Zi] : Counting primitive projective representation of local Galois groups, prépublication (1978).
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