Représentations des groupes réductifs p-adiques
Séminaire Bourbaki : volume 1990/91, exposés 730-744, Astérisque, no. 201-202-203 (1991), Exposé no. 736, 27 p.
@incollection{SB_1990-1991__33__193_0,
     author = {Henniart, Guy},
     title = {Repr\'esentations des groupes r\'eductifs $p$-adiques},
     booktitle = {S\'eminaire Bourbaki : volume 1990/91, expos\'es 730-744},
     series = {Ast\'erisque},
     note = {talk:736},
     pages = {193--219},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {201-202-203},
     year = {1991},
     mrnumber = {1157843},
     zbl = {0760.22024},
     language = {fr},
     url = {http://archive.numdam.org/item/SB_1990-1991__33__193_0/}
}
TY  - CHAP
AU  - Henniart, Guy
TI  - Représentations des groupes réductifs $p$-adiques
BT  - Séminaire Bourbaki : volume 1990/91, exposés 730-744
AU  - Collectif
T3  - Astérisque
N1  - talk:736
PY  - 1991
SP  - 193
EP  - 219
IS  - 201-202-203
PB  - Société mathématique de France
UR  - http://archive.numdam.org/item/SB_1990-1991__33__193_0/
LA  - fr
ID  - SB_1990-1991__33__193_0
ER  - 
%0 Book Section
%A Henniart, Guy
%T Représentations des groupes réductifs $p$-adiques
%B Séminaire Bourbaki : volume 1990/91, exposés 730-744
%A Collectif
%S Astérisque
%Z talk:736
%D 1991
%P 193-219
%N 201-202-203
%I Société mathématique de France
%U http://archive.numdam.org/item/SB_1990-1991__33__193_0/
%G fr
%F SB_1990-1991__33__193_0
Henniart, Guy. Représentations des groupes réductifs $p$-adiques, dans Séminaire Bourbaki : volume 1990/91, exposés 730-744, Astérisque, no. 201-202-203 (1991), Exposé no. 736, 27 p. http://archive.numdam.org/item/SB_1990-1991__33__193_0/

[BZ1] J. Bernstein et A. Zelevinski - Representations of the group GL(n, F) where F is a local non-Archimedean field, Usp. Mat. Nauk 31 (1976), 5-70. | MR | Zbl

[BZ2] J. Bernstein et A. Zelevinski - Induced representations of reductive p-adic groups, Ann. Scient. Éc. Norm. Sup. 10 (1977), 441-472. | EuDML | Numdam | MR | Zbl

[Bo] A. Borel - Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup, Invent. Math. 35 (1976), 233-259. | MR | Zbl

[BT] F. Bruhat et J. Tits - Groupes réductifs sur un corps local I, Publ. Math. I.H.E.S. 41 (1972), 5-251. | Numdam | MR | Zbl

[Bu1] C. Bushnell - Hereditary orders, Gauss sums, and supercuspidal representations of GLN, J. reine angew. Math. 375/376 (1987), 184- 210. | MR | Zbl

[Bu2] C. Bushnell - Induced representations of locally profinite groups, prépublication 1990, à paraître au J. of Algebra. | MR | Zbl

[BK] C. Bushnell et Ph. Kutzko - The admissible dual of GLN via compact open subgroups, prépublication 1990, §§1 à 8, annoncé par The admissible dual of GLN via restriction to compact open subgroups, à paraître dans les comptes rendus de la Conférence "Harmonic analysis on reductive groups", Bowdoin, 1989.

[Ca] H. Carayol - Représentations cuspidales du groupe linéaire, Ann. Scient. Éc. Norm. Sup. 17 (1984), 191-225. | EuDML | Numdam | MR | Zbl

[Cas] W. Casselman - Introduction to the theory of admissible representations of p-adic reductive groups, prépublication.

[Co1] L. Corwin - Representations of division algebras over local fields, I, Adv. in Math. 13 (1974), 259-267 ; II, Pacific J. Math 101 (1982), 49-70. | MR | Zbl

[Co2] L. Corwin - Supercuspidal representations of GLpp'(F), F p-adic, prépublication.

[Co3] L. Corwin - The unitary dual for the multiplicative group of arbitrary division algebras over local fields, J.A.M.S. 2 (1989), 565-598. | MR | Zbl

[Co4] L. Corwin - A construction of the supercuspidal representations of GLn(F), F p-adic, prépublication, dernière version novembre 1989.

[De] P. Deligne - Le support du caractère d'une représentation supercuspidale, C.R.A.S. Paris 283 (1976), 155-157. | MR | Zbl

[DKV] P. Deligne, D. Kazhdan et M.-F. Vigneras - Représentations des algèbres centrales simples p-adiques in Représentations des groupes réductifs sur un corps local, Hermann, Paris (1984). | MR | Zbl

[GGPS] I. Gelfand, I. Graev, I. Piatetski-Shapiro - Representations and automorphic functions, Saunders (1969).

[Gr] J. A. Green - The characters of the finite general linear groups, Trans. Amer. Math. Soc. 80 (1955), 402-447. | MR | Zbl

[He] G. Henniart - Les conjectures de Langlands locales pour GL(n) in Journées Arithmétiques de Metz, Astérisque 94 (1982), 67-85. | Numdam | Zbl

[Hi] H. Hijikata - Some supercuspidal representations induced from para- horic subgroups in Automorphic forms in several variables, Progress in Math. 46 (1984), 160-178. | MR | Zbl

[Ho1] R. Howe - Some qualitative results on the representation theory of GLn over a p-adic field, Pacific J. Math. 73 (1977), 497-538. | MR | Zbl

[Ho2] R. Howe - Tamely ramified supercuspidal representations of GLn, Pacific J. Math. 73 (1977), 365-381. | MR | Zbl

[Ho3] R. Howe - (With the collaboration of A. Moy) Harish-Chandra homomorphisms for p-adic groups CBMS Regional Conference Series in Math. 59, AMS (1985). | Zbl

[HM1] R. Howe et A. Moy - Minimal K-types for GL(n), Astérisque 171- 172 (1989), 257-273. | Numdam | MR | Zbl

[HM2] R. Howe et A. Moy - Hecke algebra isomorphisms for GLN, J. of Algebra 131 (1990), 388-424. | MR | Zbl

[JL] H. Jacquet et R. P. Langlands - Automorphic forms on GL(2), L.N. 114, Springer, 1971. | MR | Zbl

[KL] D. Kazhdan et G. Lusztig - Proof of the Deligne-Langlands conjecture for Hecke algebras, Invent. Math. 87 (1987), 153-215. | MR | Zbl

[Ku1] Ph. Kutzko - On the supercuspidal representations of GL2, I, II, Amer. J. Math. 100 (1978), 43-60 et 705-716. | Zbl

[Ku2] Ph. Kutzko - Towards a classification of the supercuspidal represen- tations of GLN, J. London Math. Soc. 37 (1988), 265-274. | MR | Zbl

[KM1] Ph. Kutzko et D. Manderscheid - On intertwining operators for GLN(F), F a non-Archimedean local field, Duke Math. J. 57 (1988), 275-293. | MR | Zbl

[KM2] Ph. Kutzko et D. Manderscheid - On the supercuspidal representations of GLN, N the product of two primes, Ann. Scient. Éc. Norm. Sup. 23 (1990), 39-88. | Numdam | MR | Zbl

[KS] Ph. Kutzko et P. Sally Jr. - All supercuspidal for SLp over a p-adic field are induced in Representation theory of p-adic groups, Progress in Math. 40 (1983), 185-196. | MR | Zbl

[La] R. P. Langlands - Problems in the theory of automorphic forms, in Lectures in Modern Analysis III, LN 170 (1970), 18-86. | MR | Zbl

[Md] I. Macdonald - Symmetric functions and Hall Polynomials, Oxford (1979). | MR | Zbl

[Mo1] L. Morris - P-cuspidal representations, Proc. London Math. Soc. 57 (1988), 329-356 ; P-cuspidal representations of level one, Proc. London Math. Soc. 58 (1989), 550-558. | MR | Zbl

[Mo2] L. Morris - Tamely ramified supercuspidal representations of some classical groups, prépublication, et Tamely ramified supercuspidal representations of the classical groups I et II, prépublications.

[Mo3] L. Morris - Fundamental G-strata for classical groups, prépublication IAS, 1990. | MR | Zbl

[My1] A. Moy - Local constants and the tame Langlands correspondence, Amer. J. Math. 108 (1986), 863-930. | MR | Zbl

[My2] A. Moy - A conjecture on minimal K-types for GLn over a p-adic field, Contemporary Math. 86 (1989), 249-254. | MR | Zbl

[My3] A. Moy - Representations of U(2, 1) over a P-adic field, J. Reine Angew. Math. 372 (1987), 178-208 ; Representations of GSp4 over a P-adic field I, II, Comp. Math. 66 (1988), 237-328 ; Minimal K-types for G2 over a P-adic field,Trans. AMS 305 (1988), 517-529. | MR

[PR] G. Prasad, M. S. Raghunathan - Topological central extensions of semisimple groups over local fields I, Ann. Math. 119 (1988), 143- 201. | MR | Zbl

[Re] I. Reiner - Maximal orders, Academic Press, Londres 1976. | MR | Zbl

[Ro] F. Rodier - Représentations de GLn(F) où F est un corps p-adique, Sém. Bourbaki, exposé n° 587, février 1982, Astérisque 92-93 (1982), 201-219. | Numdam | MR | Zbl

[Rg] J. Rogawski - Representations of GL(n) and division algebras over a p-adic field, Duke Mat. J. 50 (1983), 161-196. | MR | Zbl

[Tu] J. B. Tunnell - On the local Langlands conjectures for GL(2), Invent. Math. 46 (1978), 179-200. | MR | Zbl

[Vo] D. Vogan - Representations of real reductive Lie groups, Birkhäuser (1981). | MR | Zbl

[Wa] J.-L. Waldspurger - Algèbres de Hecke et induites de représentations cuspidales pour GL(N), J. reine angew. Math. 370 (1986), 127-191. | MR | Zbl

[Ze] A. Zelevinski - Induced representations of reductive p-adic groups II : On irreducible representations of GL(n), Ann. Scient. Éc. Norm. Sup. 13 (1980), 165-210. | Numdam | MR | Zbl

[Zi] E. W. Zink - Representation theory of local division algebras I, II, prépublications Karl-Weierstraß Institut für Math., Berlin 1990.