Représentation p -adique et corps locaux proches
Thèses d'Orsay, no. 382 (1994) , 194 p. 
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     author = {Lemaire, Bertrand},
     title = {Repr\'esentation $p$-adique et corps locaux proches},
     series = {Th\`eses d'Orsay},
     publisher = {Universit\'e de Paris-Sud Centre d'Orsay},
     number = {382},
     year = {1994},
     language = {fr},
     url = {http://archive.numdam.org/item/BJHTUP11_1994__0382__P0_0/}
}
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Lemaire, Bertrand. Représentation $p$-adique et corps locaux proches. Thèses d'Orsay, no. 382 (1994), 194 p. http://numdam.org/item/BJHTUP11_1994__0382__P0_0/

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

[Deli] P. Deligne - Les corps locaux de caracteristique p comme limites de corps locaux de caracteristique 0 in Représentations des groupes réductifs sur un corps local, Hermann, coll. Travaux en cours, Hermann, Paris, 1984. | MR | Zbl

[Howe] R. Howe. - Harish-Chandra homomorphisms for p-adics groups, CBMS Regional Conference Series in Math., n° 59, Amer. Math. Soc., Providence, Rhode Island, 1985. | MR | Zbl | DOI

[Iwah] N. Iwahori. - Generalized Tits System (Bruhat decomposition) on p-adic semi-simple groups in Algebraic Groups and Discontinuous Subgroups, Proc. of Symp. in Pure Math. 9 (1966), Amer. Math. Soc., Providence, Rhode Island, 71-83. | MR | Zbl | DOI

[Iw-Ma] N. Iwahori & H. Matsumoto - On some Bruhat decomposition and the structure of the Hecke rings of the p-adic chevalley groups, Publ. Math. I.H.E.S. 25 (1965), 5-48. | MR | Zbl | Numdam

[Kazh] D. Kazhdan. - Representations of groups over close local fields, Journal d'Analyse Math. 47 (1986), 175-179. | MR | Zbl | DOI

[Sata] I. Satake. - Theory of spherical functions on reductive algebraic groups over p-adic fields, Publ. Math. I.H.E.S. 18 (1963), 1-69. | MR | Numdam

[Shim] G. Shimura. - Introduction to the arithmetic theory of automorphic functions, Princeton Univ. Press, Princeton, New Jersey, 1971. | MR | Zbl

[Weil] A. Weil. - Basic number theory, Grundlehren Math. Wiss., 3rd edit., Springer-Verlag, Berlin-Heidelberg-New York, 1974. | MR | Zbl

[Be-Ze] I.N. Bernstein & A.V. Zelevinsky. - Representations of the group GLn(F) where F is a local non-archimedean field, Uspechi Mat. Nauk. 31, n° 3 (1976), 5-70. | MR | Zbl

[Cart] P. Cartier. - Representations of p-adic groups : a survey, Proc. of Symp. in Pure Math. 33, part. 1 (1979), Amer. Math. Soc., Providence, 111-155. | MR | Zbl | DOI

[Deli] P. Deligne. - Le centre de Bernstein, in Representations des groupes reductifs sur un corps local, Hermann, coll. Travaux en cours, Hermann, Paris, 1984. | MR | Zbl

[Ge-Ka] I.M. Gelfand & D.A. Kazhdan. - Representations of the group GL(n,K) where K is a local field in Lie groups and their representations, Halstead Press, Budapest, 1974. | Zbl

[Go-Ja] H. Godement & H. Jacquet. - Zeta functions of simple algebras, Lectures Notes in Mathematics, n° 260, Springer Verlag, Berlin-Heidelberg- New York, 1972. | MR | Zbl

[Howe] R. Howe. - Harish-Chandra homomorphisms for p-adics groups, CBMS, Regional Conference Series in Math., n° 59, Amer. Math. Soc., Providence, Rhode Island, 1985. | MR | Zbl | DOI

[J.P-S.S] H. Jacquet, I.I. Piatetski-Shapiro & J. Shalika. - Conducteur des representations du groupe lineaire, Math. Ann. 256 (1981), 199-214. | MR | Zbl

[Rodi] F. Rodder. - Whittaker models for admissible representations of reductive p-adics groups, Proc. of Symp. in Pure Math. 26 (1973), Amer. Math. Soc., Providence, 425-430. | MR | Zbl | DOI

[Spri] T.A. Springer. - Reductive groups, Proc. of Symp. in Pure Math., 33, part 1 (1979), Amer. Math. Soc., Providence, 3-27. | MR | Zbl | DOI

[Be-Ze] I.N. Bernstein & A.V. Zelevinsky. - Representations of the group GLn(F) where F is a local non-archimedean field, Uspechi Mat. Nauk. 31, (1976), 5-70. | MR | Zbl

[Bour] N. Bourbaki. - Eléments de mathématiques, Hermann, Paris. | MR

[Bu-Ku] C.J. Bushnell & P.C. Kutzko. - The admissible dual of GL(N) via compact open subgroups, Ann. Math. Studies, n° 129, Princeton Univ. Press, Princeton, 1993. | MR | Zbl

[Cart] P. Cartier. - Representations of p-adic groups : a survey, Proc. of Symp. in Pure Math. 33, part 1 (1979), Amer. Math. Soc., Providence, 111-155. | MR | Zbl | DOI

[De-Ka] P. Deligne & D. Kazhdan. - On representation of local division algebras, I.H.E.S, Tel-Aviv Univ. & Harvard Univ., manuscrit.

[De-Ka-Vi] P. Deligne, D.A. Kazhdan & M.F. Vigneras. - Representations des algebres centrales simples p-adiques in Representations des groupes reductifs sur un corps local, coll. Travaux en cours, Hermann, Paris, 1984, 33-177. | MR | Zbl

[Ge-Ka] I.M. Gelfand & D.A. Kazhdan. - Representations of the group GL(n,K) where K is a local field, Lie groups and their representations, Halstead Press, Budapest, 1974. | Zbl

[Hari 1] Harish-Chandra. - Harmonic analysis on reductive p-adic groups, Lectures Notes in Math., n° 162, Springer-Verlag, Berlin-Heidelberg-New York, 1970. | MR | Zbl

[Hari 4] Harish-Chandra. - A submersion principle and its applications, proc. Indian Acad. sci. (Math. Sci.) 90 (1981), 95-102. | MR | Zbl | DOI

[Henn] G. Henniart. - La conjecture de Langlands locale pour GL(3) (Appendice 3), Mem. de la Soc. Math. de France (nelle serie) 11/12 (1984), 149-152. | MR

[Howe] R. Howe. - The Fourier transform and germs of characters, Math. Ann. 208 (1974), 305-322. | MR | Zbl

[Jaco] N. Jacobson. - Basic algebra 1, W.H. Freemann and Company, San Fransisco, 1974. | Zbl

[Laum] G. Laumon. - Cohomology with compact supports of Drinfeld modular varieties, Part 1, Publi. Math. Univ. Paris-Sud, 1991.

[Mac D] I.G. Mac Donald. - Symmetric functions and Hall polynomials, Oxford University Press, New York, 1979.

[Sp-St] T.A. Springer & R. Steinberg. - Conjugacy classes, Seminar on Algebraic Groups and Related Finite Groups, Lecture Notes in Math., n° 131, Springer-Verlag, Berlin-Heidelberg-New York, 1970. | MR | Zbl | DOI

[Vign] M.F. Vigneras. - Caractérisation des intégrales orbitales sur un groupe réductif p-adique, Jour. Fac. Sc. Univ. de Tokyo IA 28 (3) sec. 14 (1982), 945-961. | MR | Zbl

[Weil] A. Weil. - L'integration dans les groupes topologiques et ses applications, Hermann, Paris, 1965. | MR | Zbl | JFM

[Be-Ze] I.N. Bernstein & A.V. Zelevinsky. - Induced representation of reductive p-adic groups I, Ann. Scient. Ec. Norm. Sup. (4ème serie) 10 (1977), 441-472. | MR | Zbl | Numdam | DOI

[Bu-Ku] C.J. Bushnell & P.C. Kutzko. - The admissible dual of GL(N) via compact open subgroups, Annals of Math. Studies 129, Princeton Univ. Press, Princeton, New Jersey, 1993. | MR | Zbl

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

[Cara] H. Carayol. - Représentations cuspidales deu groupe linéaire, Ann. Scient. Ec. Norm. Sup. (4eme serie) 17 (1984), 191-225. | MR | Zbl | Numdam

[Cass] W. Casselman. - Characters and Jacquet Modules, Math. Ann. 230 (1977), 101-105. | MR | Zbl

[Cloz 1] L. Clozel. - Sur une conjecture de Howe - I, Compositio Math. 56 (1985), 87-110. | MR | Zbl | Numdam

[Cloz 2] L. Clozel. - Orbital integrals on p-adics groups. A proof of the Howe conjecture, Ann. of Math. 129 (1989), 237-251. | MR | Zbl

[Cloz 3] L. Clozel. - The fundamental lemma for stable base change, Duke Math. Journal 61 (1990), 225-302. | MR | Zbl | DOI

[Cloz 4] L. Clozel. - Invariant harmonic analysis on the Schwartz space of a reductive p-adic group, in Harmonic Analysis on Reductive p-adic groups, proc. of the Bowdoin conf. 1989, coll. Progress in Math., n° 101 (W. Barker, P. Sally, ed.), Birkhäuser, Boston, 1991. | MR | Zbl

[Deli] P. Deligne. - Le "centre" de Bernstein in Representations des groupes reductifs sur un corps local, coll. Travaux en cours, Hermann, Paris, 1984, 1-32. | MR | Zbl

[Hari 1] Harish-Chandra. - Harmonic analysis on reductive p-adic groups, Lectures Notes in Math., n° 162, Springer-Verlag, Berlin-Heidelberg-New York, 1970. | MR | Zbl

[Hari 2] Harish-Chandra. - Harmonic analysis on reductive p-adic groups, Proc. of Symp. in Pure Math. 26 (1973), Amer. Math. Soc., Providence, 167-192. | MR | Zbl | DOI

[Hari 3] Harish-Chandra. - Admissible invariant distributions on reductive p-adic groups, Queen's papers in Pure and Applied Math. 48 (1978), 377-380. | MR | Zbl

[Hari 4] Harish-Chandra. - A submersion principle and its applications, proc. Indian Acad. sci. (Math. Sci.) 90 (1981), 95-102. | MR | Zbl | DOI

[Howe] R. Howe. - Two conjectures about reductive p-adic groups, Proc. of Symp. in Pure Math. 26 (1973), Amer. Math. Soc., Providence, 377-380. | MR | Zbl | DOI

[Jacq] H. Jacquet. - Generic representations in Non Commutative Harmonic Analysis, Lecture Notes in Math., n° 587, Springer-Verlag, Berlin-Heidelberg-New York, 1977. | MR | Zbl | DOI

[Kazh 1] D. Kazhdan. - Cuspidal geometry of p-adic groups, J. d'Analyse Math. 47 (1986), 1-36. | MR | Zbl | DOI

[Kazh 2] D. Kazhdan. - Representations of groups over close local fields, Jour. d'Analyse Math. 47 (1986), 175-179. | MR | Zbl | DOI

[Laum] G. Laumon. - Cohomology with compact supports of Drinfeld modular varieties (Part 1), Publi. Math. Univ. Paris-Sud, 1991.

[Rodi] F. Rodier. - Intégrabilité locale des caractères du groupe GL(n,k) ou k est un corps local de caractéristique positive, Duke Math. Jour. 85 (1985), 771-792. | MR | Zbl

[Vign] M.F. Vigneras. - Caracterisation des intégrales orbitales sur un groupe réductif p-adique, J. Fac. Sci. Univ. Tokyo 28 (3), sec. 14 (1982), 945-961. | MR | Zbl

[Zele] I.A. Zelevinsky. - Induced representations of reductive p-adic groups II. On irreducible representations of GL(n), Ann. Scient. Ec. Norm. Sup. (4eme serie) 13 (1980), 165-210. | MR | Zbl | Numdam

[Bour] N. Bourbaki. - Eléments de mathématiques, Hermann, Paris. | MR

[Bu-Ku] C.J. Bushnell & P.C. Kutzko. - The admissible dual of GL(N) via compact open subgroups, Annals of Math. Studies, n° 129, Princeton Univ. Press, Princeton, New jersey, 1993. | MR | Zbl

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

[Cloz 1] L. Clozel. - Characters of non-connected, reductive p-adic groups, Can. Jour. of Math. 34 (1987), 149-167. | MR | Zbl | DOI

[Cloz 2] L. Clozel. - Invariant harmonic analysis on the Schwartz space of a reductive p-adic group in Harmonic Analysis on Reductive p-adic groups, proc. of the Bowdoin conf. 1989, coll. Progress in Math., n° 101 (W. Barker, P. Sally, ed.), Birkhäuser, Boston, 1991, 101-121. | MR | Zbl

[De-Ka-Vi] P. Deligne, D.A. Kazhdan & M.F. Vigneras. - Représentations des algèbres centrales simples p-adiques, in Représentations des groupes réductifs sur un corps local, coll. Travaux en cours, Hermann, Paris, 1984, 33-177. | MR | Zbl

[Hari 0] Harish-Chandra. - Invariant distributions on Lie Algebras, Amer. Jour. of. Math. 86 (1964), 271-309. | MR | Zbl | DOI

[Hari 1] Harish-Chandra. - Harmonic analysis on reductive p-adic groups, Lectures Notes in Math., n° 162, Springer-Verlag, Berlin-Heidelberg-New York, 1970. | MR | Zbl

[Hari 2] Harish-Chandra. - Admissible invariant distributions on reductive p-adic groups, Queen's papers in Pure and Applied Math. 48 (1978), 377-380. | MR | Zbl

[Howe] R. Howe. - The Fourier transform and germs of characters, Math. Ann. 208, (1974), 305-322. | MR | Zbl

[Kazh] D. Kazhdan. - Cuspidal geometry of p-adic groups, Jour. d'Analyse Math. 47 (1986), 1-36. | MR | Zbl | DOI

[Rodi] F. Rodier - Intégrabilité locale des caractères du groupe GL(n, k) où k est un corps local de caractéristique positive, Duke Math. Jour. 85 (1985), 771-792. | MR | Zbl

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

[Serr] J.P. Serre. - Corps locaux, Hermannn, Paris, 1962. | MR | Zbl

[Silb] A.J. Selberger.- Introduction to harmonie analysis on reductive p-adic groups, Mathematical Notes, n° 23, Princeton Univ. Press, Princeton, New Jersey, 1979. | MR | Zbl