Représentations des groupes réductifs $p$-adiques

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1. [BZ1] J. Bernstein et A. Zelevinski - Representations of the group GL(n, F) where F is a local non-Archimedean field, Usp. Mat. Nauk31 (1976), 5-70. Zbl0342.43017MR425030
2. [BZ2] J. Bernstein et A. Zelevinski - Induced representations of reductive p-adic groups, Ann. Scient. Éc. Norm. Sup.10 (1977), 441-472. Zbl0412.22015MR579172
3. [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. Zbl0334.22012MR444849
4. [BT] F. Bruhat et J. Tits - Groupes réductifs sur un corps local I, Publ. Math. I.H.E.S.41 (1972), 5-251. Zbl0254.14017MR327923
5. [Bu1] C. Bushnell - Hereditary orders, Gauss sums, and supercuspidal representations of GLN, J. reine angew. Math.375/376 (1987), 184- 210. Zbl0601.12025MR882297
6. [Bu2] C. Bushnell - Induced representations of locally profinite groups, prépublication 1990, à paraître au J. of Algebra. Zbl0727.22004MR1068417
7. [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. 
8. [Ca] H. Carayol - Représentations cuspidales du groupe linéaire, Ann. Scient. Éc. Norm. Sup.17 (1984), 191-225. Zbl0549.22009MR760676
9. [Cas] W. Casselman - Introduction to the theory of admissible representations of p-adic reductive groups, prépublication. 
10. [Co1] L. Corwin - Representations of division algebras over local fields, I, Adv. in Math.13 (1974), 259-267 ; II, Pacific J. Math101 (1982), 49-70. Zbl0508.12015MR347780
11. [Co2] L. Corwin - Supercuspidal representations of GLpp'(F), F p-adic, prépublication. 
12. [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. Zbl0706.22013MR984512
13. [Co4] L. Corwin - A construction of the supercuspidal representations of GLn(F), F p-adic, prépublication, dernière version novembre 1989. 
14. [De] P. Deligne - Le support du caractère d'une représentation supercuspidale, C.R.A.S.Paris283 (1976), 155-157. Zbl0336.22009MR425033
15. [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). Zbl0583.22009MR771672
16. [GGPS] I. Gelfand, I. Graev, I. Piatetski-Shapiro - Representations and automorphic functions, Saunders (1969). 
17. [Gr] J.A. Green - The characters of the finite general linear groups, Trans. Amer. Math. Soc.80 (1955), 402-447. Zbl0068.25605MR72878
18. [He] G. Henniart - Les conjectures de Langlands locales pour GL(n) inJournées Arithmétiques de Metz, Astérisque94 (1982), 67-85. Zbl0504.12017
19. [Hi] H. Hijikata - Some supercuspidal representations induced from para- horic subgroups in Automorphic forms in several variables, Progress in Math.46 (1984), 160-178. Zbl0544.22012MR763014
20. [Ho1] R. Howe - Some qualitative results on the representation theory of GLn over a p-adic field, Pacific J. Math.73 (1977), 497-538. Zbl0385.22009MR492088
21. [Ho2] R. Howe - Tamely ramified supercuspidal representations of GLn, Pacific J. Math.73 (1977), 365-381. Zbl0385.22007MR492087
22. [Ho3] R. Howe - (With the collaboration of A. Moy) Harish-Chandra homomorphisms for p-adic groupsCBMS Regional Conference Series in Math.59, AMS (1985). Zbl0593.22014
23. [HM1] R. Howe et A. Moy - Minimal K-types for GL(n), Astérisque171- 172 (1989), 257-273. Zbl0715.22018MR1021505
24. [HM2] R. Howe et A. Moy - Hecke algebra isomorphisms for GLN, J. of Algebra131 (1990), 388-424. Zbl0715.22019MR1058553
25. [JL] H. Jacquet et R.P. Langlands - Automorphic forms on GL(2), L.N.114, Springer, 1971. Zbl0236.12010MR401654
26. [KL] D. Kazhdan et G. Lusztig - Proof of the Deligne-Langlands conjecture for Hecke algebras, Invent. Math.87 (1987), 153-215. Zbl0613.22004MR862716
27. [Ku1] Ph. Kutzko - On the supercuspidal representations of GL2, I, II, Amer. J. Math.100 (1978), 43-60 et 705-716. Zbl0421.22012
28. [Ku2] Ph. Kutzko - Towards a classification of the supercuspidal represen- tations of GLN, J. London Math. Soc.37 (1988), 265-274. Zbl0678.22009MR928523
29. [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. Zbl0665.22006MR952235
30. [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. Zbl0745.22016MR1042387
31. [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. Zbl0538.22011MR733814
32. [La] R.P. Langlands - Problems in the theory of automorphic forms, in Lectures in Modern Analysis III, LN170 (1970), 18-86. Zbl0225.14022MR302614
33. [Md] I. Macdonald - Symmetric functions and Hall Polynomials, Oxford (1979). Zbl0899.05068MR553598
34. [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. Zbl0678.22010MR950594
35. [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. 
36. [Mo3] L. Morris - Fundamental G-strata for classical groups, prépublication IAS, 1990. Zbl0799.22009MR1141284
37. [My1] A. Moy - Local constants and the tame Langlands correspondence, Amer. J. Math.108 (1986), 863-930. Zbl0597.12019MR853218
38. [My2] A. Moy - A conjecture on minimal K-types for GLn over a p-adic field, Contemporary Math.86 (1989), 249-254. Zbl0685.22009MR987030
39. [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. AMS305 (1988), 517-529. MR924768
40. [PR] G. Prasad, M.S. Raghunathan - Topological central extensions of semisimple groups over local fields I, Ann. Math.119 (1988), 143- 201. Zbl0552.20025MR736564
41. [Re] I. Reiner - Maximal orders, Academic Press, Londres1976. Zbl0305.16001MR1972204
42. [Ro] F. Rodier - Représentations de GLn(F) où F est un corps p-adique, Sém. Bourbaki, exposé n° 587, février 1982, Astérisque92-93 (1982), 201-219. Zbl0506.22019MR689531
43. [Rg] J. Rogawski - Representations of GL(n) and division algebras over a p-adic field, Duke Mat. J.50 (1983), 161-196. Zbl0523.22015MR700135
44. [Tu] J.B. Tunnell - On the local Langlands conjectures for GL(2), Invent. Math.46 (1978), 179-200. Zbl0385.12006MR476703
45. [Vo] D. Vogan - Representations of real reductive Lie groups, Birkhäuser (1981). Zbl0469.22012MR632407
46. [Wa] J.-L. Waldspurger - Algèbres de Hecke et induites de représentations cuspidales pour GL(N), J. reine angew. Math.370 (1986), 127-191. Zbl0586.20020MR852514
47. [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. Zbl0441.22014MR584084
48. [Zi] E.W. Zink - Representation theory of local division algebras I, II, prépublications Karl-Weierstraß Institut für Math., Berlin1990.