@book{MSMF_1983_2_11-12__1_0, author = {Henniart, Guy}, title = {La conjecture de {Langlands} locale pour $GL(3)$}, series = {M\'emoires de la Soci\'et\'e Math\'ematique de France}, publisher = {Soci\'et\'e math\'ematique de France}, number = {11-12}, year = {1983}, doi = {10.24033/msmf.295}, mrnumber = {750329}, zbl = {0577.12011}, language = {fr}, url = {http://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 - Mémoires de la Société Mathématique de France PY - 1983 IS - 11-12 PB - Société mathématique de France UR - http://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 $GL(3)$. Mémoires de la Société Mathématique de France, Série 2, no. 11-12 (1983), 188 p. doi : 10.24033/msmf.295. http://numdam.org/item/MSMF_1983_2_11-12__1_0/
[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] Seminar on algebraic groups and related finite groups, Lecture Notes in Mathematics no 131, Srpinger-Verlag (1972). | Zbl
et alii :[Ca] Representations cuspidales du groupe linèc)aire, prèc)publication Universitèc) Paris VII (1982).
:[Ct1] Reprèc)sentations of P-adic groups : a survey, in [Co], Part 1, pp. 111-156. | Zbl
:[Ct2] La conjecture locale de Langlands pour Gl(2) et la dèc)monstration de Ph. Kutzko, Sèc)minaire Bourbaki 1979/1980, exposèc) no 550, Lect. Notes in Math. no 842, Springer-Verlag (1981). | Zbl | Numdam
:[Ct3] Fonction L d'Artin : thèc)orie locale (Cours 1977/1978 rèc)digèc) par Guy Henniart), prèc)publicaiton IHES (1980).
:[Cas] Introduction to the theory admissible representation of P-adic reductive groups, notes polycopièc)es (1977).
:[Co] Automorphic forms, representations and L-functions, Proc. Sym. pure Math. vol. 33, AMS, Providence (1979).
:[De1] Les constantes des èc)quations 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 reprèc)sentations 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, datèc)e du 21 mars 1977.
:[DH] Sur la variation, par torsion, des constantes locales d'èc)quations fonctionnelles de fonctions L, Inv. Math. 64, pp. 89-118 (1981). | Zbl | MR
et :[DK] On representation of local division algebras, prèc)publication 1982.
et :[DL] Representations of reductive groups over finite fields, Ann. of Math. 103, pp. 103-161 (1976). | Zbl | MR
et :[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] A relation between automorphic representaton of GL(2) and GL(3), Ann. Scient. Ec. Norm. 4ème sèc)rie, t. 11, pp. 471-542 (1978). | Zbl | MR | Numdam
et :[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] Facteurs locaux pour GL(2), Ann. Scient. E.N.S., t. 13, pp. 349-384. | Zbl | MR | Numdam
et :[GeL] The solution of a base change problem for GL(2), in [Co], Part II, pp. 115-133. | Zbl
et :[Go] Domaines fondamentaux des groupes arithmèc)tiques, sèc)minaire Bourbaki no 257 (1963). | Zbl | Numdam
:[GJ] Zeta functions of simple algebras, Lect. Notes in Math. no 260, Springer-Verlag (1972). | Zbl | MR
et :[Ha] Minkowskische Reduktionstheorie à±/4ber 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] Reprèc)sentation 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 prèc)cèc)dent, à paraèr)tre.
:[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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