@article{ASENS_1984_4_17_2_191_0, author = {Carayol, H.}, title = {Repr\'esentations cuspidales du groupe lin\'eaire}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {191--225}, publisher = {Elsevier}, volume = {4e s{\'e}rie, 17}, number = {2}, year = {1984}, doi = {10.24033/asens.1470}, mrnumber = {86f:22019}, zbl = {0549.22009}, language = {fr}, url = {http://www.numdam.org/articles/10.24033/asens.1470/} }
TY - JOUR AU - Carayol, H. TI - Représentations cuspidales du groupe linéaire JO - Annales scientifiques de l'École Normale Supérieure PY - 1984 SP - 191 EP - 225 VL - 17 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.24033/asens.1470/ DO - 10.24033/asens.1470 LA - fr ID - ASENS_1984_4_17_2_191_0 ER -
Carayol, H. Représentations cuspidales du groupe linéaire. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 17 (1984) no. 2, pp. 191-225. doi : 10.24033/asens.1470. http://www.numdam.org/articles/10.24033/asens.1470/
[1] Representations of the Group GLn(F) where F is a Non Archimedian Local Field (Russian Math., Surveys, 31, n° 3, 1976, p. 1-68). | Zbl
et ,[2] Admissible Representations of a Semi-Simple Lie Group Over a Local Field with Vectors Fixed Under an Iwahori Subgroup (Inventiones Math., 35, 1976, p. 233-259). | MR | Zbl
,[3] Groupes et algèbres de Lie, chap. IV, V, VI (Act. Sc. Ind., 1337, Hermann, Paris, 1968). | MR
,[4] Représentations supercuspidales de GLn (C.R. Acad. Sc. Paris, série A, t. 288, 1979, p. 17-20). | MR | Zbl
,[5] Sur les représentations des groupes réductifs p-adiques et leurs caractères. Séminaire Bourbaki, 28e année 1975/1976, exp. 471 (Lecture notes in Math., Vol. 567, Springer-Verlag, Berlin, 1977). | Numdam | Zbl
,[6] Representations of p-Adic Groups. Automorphic Forms, Representations and L-Functions (Proc. Sympos. Pure Math., vol. 33, part 1, Amer. Math. Soc., Providence RI, 1979, p. 111-155). | MR | Zbl
,[7] An Assortment of Results on Representations of GL2(k). Modular Functions of One Variable II (Lectures notes in Math., vol. 349, Springer-Verlag, Berlin, 1972, p. 3-54). | Zbl
,[8] The Restriction of a Representation of GL2(k) to GL2(O) (Math. Annalen, 206, 1973, p. 311-318). | MR | Zbl
,[9] Representations of Division Algebras Over Local Fields (Adv. in Math., 13, 1974, p. 259-267). | MR | Zbl
,[10] Representations of Division Algebras Over Local Fields II, Preprint.
,[11] Formes modulaires et représentations de GL2. Modular Functions of One Variable II (Lecture notes in Math., vol. 349, Springer-Verlag, Berlin, 1972, p. 55-105). | MR | Zbl
,[12] Un calcul de dimension, inspiré par Tunnell. Notes manuscrites non publiées.
,[13] Automorphic Forms on Adele Groups. Princeton university press, Princeton, New Jersey, 1975. | Zbl
,[14] Representations of the General Linear Group Over a Finite Field. Proc. of the Summer School on Group Representations, Bolyai Janos [Math. Soc. (Budapest 1971). Adam Hilger LDT, London, p. 119-132]. | MR | Zbl
,[15] Construction de séries discrètes p-adiques (Lectures notes in Math., vol. 462, Springer-Verlag, Berlin, 1975). | MR | Zbl
,[16] Cuspidal Unramified Series for Central Simple Algebras Over Local Fields. Automorphic Forms, Representations and L-Functions (Proc. Sympos. Pure. Math., vol. 33, Part 1, Amer. Math. Soc., Providence RI, 1979, p. 157-170). | MR | Zbl
,[17] Facteurs locaux pour GL2 (Ann. scient. Éc. Norm. Sup., 4e série, t. 13, 1980, p. 349-384). | Numdam | Zbl
et ,[18] Zeta Functions of Simple Algebras (Lecture Notes in Math., vol. 260, Springer-Verlag, New York, 1972). | MR | Zbl
et ,[19] Harmonic Analysis on Reductive p-Adic Groups Harmonic Analysis on Homogeneous Spaces (Proc. Sympos. Pure Math., vol. 26, Amer. Math. Soc., Providence RI, 1973, p. 167-192). | MR | Zbl
,[20] La conjecture de Langlands locale pour GL3 (à paraître). Un preprint I.H.E.S. est disponible.
,[21] Les conjectures de Langlands locales pour GLn. Journées arithmétiques de Metz (Astérisque, 94, 1982, p. 67-85). | Numdam | MR | Zbl
,[22] The Fourier Transform and Germs of Characters (Case of GLn Over a p-Adic Field) (Math. Ann., 208, 1974, p. 305-322). | MR | Zbl
,[23] Tamely Ramified Supercuspidal Representations of GLn (Pacific Journal of Math., vol. 73, n° 2, 1977, p. 437-460). | MR | Zbl
,[24] Sur les représentations des groupes réductifs p-adiques (C.R. Acad. Sc., Paris, série A, t. 280, 1975, p. 1271-1272). | MR | Zbl
,[25] Automorphic Forms on GL2 (Lecture notes in Math., vol. 114, Springer-Verlag, Berlin, 1968). | MR | Zbl
et ,[26] On Representations of Local Division Algebras. Preprint, 1982.
et ,[27] Zur Arithmetik in Divisions Algebren Uber Lokalen Körpern (Math. Nachr., 100, 1981, p. 9-19). | MR | Zbl
,[28] Zur Korrespondenz von Darstellungen der Galoisgruppen und der zentralen Divisions algebren über lokalen Körper (Der Zahme Fall) (Math. Nachr., 98, 1980, p. 83-119). | MR | Zbl
et ,[29] On the Supercuspidal Representations of GL(2), I, II (Amer. J. Math., vol. 100, 1978, p. 43-60 et 705-716). | MR | Zbl
,[30] The Exceptionnal Representations of GL2 (à paraître).
,[31] The Langlands Conjecture for GL2 of a Local Field (Annals of Math., vol. 112, n° 2, septembre 1980, p. 381-412). | Zbl
,[32] Problems in the Theory of Automorphic Forms. Lectures in Modern Analysis and Applications (Lecture Notes in Math., vol. 170, Springer, New York, 1970, p. 18-86). | MR | Zbl
,[33] Some Remarks on the Supercuspidal Representations of p-Adic Semi-Simple Groups (Proc. Sympos. Pure Math., vol. 33, part 1, Amer. Math. Soc., Providence RI, 1979, p. 171-178). | MR | Zbl
,[34] Local Constants and the Tame Langlands Correspondence (Thèse, Université de Chicago, juin 1982).
,[35] An Application of the Building to Orbital Integrals (Composition Math., vol. 42, fasc. 3, 1981, p. 417-423). | Numdam | MR | Zbl
,[36] Representations of GLn and Division Algebras Over a p-Adic Field (Duke Math. Journal, vol. 50, n° 1, 1983, p. 161-196). | MR | Zbl
,[37] A Theorem on Semi-Simple p-Adic Groups (Ann. of Math., 95, n° 1, 1972, p. 226-242). | MR | Zbl
,[38] On Certain Square-Integrable Irreductible Unitary Representations of Some p-Adic Linear Groups (J. Math. Soc. Japan, 20, 1968, p. 522-565). | MR | Zbl
,[39] Reductive Groups Over Local Fields. Automorphic Forms, Representations and L-Functions (Proc. Sympos. Math., vol. 33, part 1, Amer. Math. Soc., Providence RI, 1979, p. 29-69). | MR | Zbl
,[40] On the Local Langlands Conjecture for GL(2) (Inv. Math., 46, 1978, p. 179-200). | MR | Zbl
,[41] Représentations des algèbres centrales simples sur un corps local non archimédien. Notes pour des conférences à Paris-VII.
,[42] Induced Representations of Reductive p-Adic Groups II. On Irreductible Representations of GL(n) (Ann. scient. Éc. Norm. Sup., série 4, 13, fasc. 2, 1980, p. 165-210). | Numdam | MR | Zbl
,Cited by Sources: