Correspondance entre G L n et ses formes intérieures en caractéristique positive
Thèses d'Orsay, no. 536 (1999) , 206 p. 
@phdthesis{BJHTUP11_1999__0536__P0_0,
     author = {Badulescu, Alexandru loan},
     title = {Correspondance entre $GL_n$ et ses formes int\'erieures en caract\'eristique positive},
     series = {Th\`eses d'Orsay},
     publisher = {Universit\'e de Paris-Sud Centre d'Orsay},
     number = {536},
     year = {1999},
     language = {fr},
     url = {http://www.numdam.org/item/BJHTUP11_1999__0536__P0_0/}
}
TY  - BOOK
AU  - Badulescu, Alexandru loan
TI  - Correspondance entre $GL_n$ et ses formes intérieures en caractéristique positive
T3  - Thèses d'Orsay
PY  - 1999
IS  - 536
PB  - Université de Paris-Sud Centre d'Orsay
UR  - http://www.numdam.org/item/BJHTUP11_1999__0536__P0_0/
LA  - fr
ID  - BJHTUP11_1999__0536__P0_0
ER  - 
%0 Book
%A Badulescu, Alexandru loan
%T Correspondance entre $GL_n$ et ses formes intérieures en caractéristique positive
%S Thèses d'Orsay
%D 1999
%N 536
%I Université de Paris-Sud Centre d'Orsay
%U http://www.numdam.org/item/BJHTUP11_1999__0536__P0_0/
%G fr
%F BJHTUP11_1999__0536__P0_0
Badulescu, Alexandru loan. Correspondance entre $GL_n$ et ses formes intérieures en caractéristique positive. Thèses d'Orsay, no. 536 (1999), 206 p. http://numdam.org/item/BJHTUP11_1999__0536__P0_0/

[AC] J. Arthur, L. Clozel, Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula, Ann. of Math. Studies, Princeton Univ. Press 120, (1989). | MR | Zbl

[Au] A.-M. Aubert, Dualité dans le groupe de Grothendieck de la catégorie des représentations lisses de longeur finie d'un groupe réductif p-adique, Transactions A.M.S., Vol.347, No.6, 1995. | MR | Zbl

[BDK] J. Bernstein, P. Deligne, D. Kazhdan, Trace Paley-Wiener Theorem for reductive p-adic groups, J. Analyse Math. 47 (1986), 180-192. | MR | Zbl | DOI

[Be] J. Bernstein, Le "centre" de Bernstein, rédigé par Deligne, Représentations des groupes réductifs sur un corps local, Hermann, Paris 1984. | MR | Zbl

[BF] C.J. Bushnell, A. Fröhlich, Non-abelian congruence sums and p-adic simple algebras, Proc.London Math.Soc., Serie(3)50, 1985, 207-264. | MR | Zbl | DOI

[BJ] A. Borel, H. Jacquet, Automorphic Forms and Automorphic Representations, Proc. of symp. in pure math vol.XXXIII, Part 1, 189-202. | MR | Zbl

[Boul] Bourbaki, Théories spectrales, Chap. 1-2, Hermann, Paris.

[Bou2] Bourbaki, Algèbre, Chap. 1-3, Hermann, Paris. | MR | Zbl

[Br] P. Broussous, Minimal Strata for GL(m;D), prépublication King's College London, 1997. | MR | Zbl

[BW] A. Borel, N. Wallach, Continuous Cohomology, Discrete Subgroups and Representations of Reductive Groups, Ann. of Math. Studies, Princeton Univ. Press, (1980). | MR | Zbl

[BZ] J. Bernstein, A. Zelevinski, Induced representations of reductive p-adic groups I, Ann. Sci. ENS 4e série, 10 (1977), 441-472. | MR | Zbl | Numdam

[Ca1] W. Casselman, Characters and Jacquet modules, Math. Ann. 230, (1977), 101-105. | MR | Zbl | DOI

[Ca2] W. Casselman, Introduction to the theory of admissible representations of reductive p-adic groups, preprint.

[Cl1] L. Clozel, Théorème d'Atiyah-Bott pour les variétés p-adiques et caractères des groupes réductifs, Mémoires de la S.M.F. no. 15, Nouvelle série, 1984, 39-64. | MR | Zbl | Numdam

[Cl2] L. Clozel, Invariant harmonic analysis on the Schwarz space of a reductive p-adic group, Proc.Bowdoin Conf.1989, Progress in Math. Vol. 101, Birkhäuser, Boston, 1991, 101-102. | MR | Zbl

[De] P. Deligne, Les corps locaux de caractéristique p, limites de corps locaux de caractéristique 0, Représentations des groupes réductifs sur un corps local, Hermann, Paris 1984. | MR | Zbl

[vD] G. Van Dijk, Computation of Certain Induced Characters of p-adic Groups, Math. Ann. 199, 1972, 229-240. | MR | Zbl | DOI

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

[Fla1] D. Flath, Decomposition of representations into tensor products, Proc. of symp. in pure math vol.XXXIII, Part 1, 179-185. | MR | Zbl

[Fla2] D. Flath, A comparison of the automorphic representations of GL(3) and its twisted forms, Pacific J. of Math. 97 (1981), 373-402. | MR | Zbl | DOI

[Fl1] Y. Flicker, Rigidity of automorphic forms, J. Analyse Math. 49 (1987), 135-202. | MR | Zbl | DOI

[Fl2] Y. Flicker, Transfer of Orbital Integrals and division algebras, J.Ramanujan Math.Soc. 5 (1990), 107-122. | MR | Zbl

[FK] Y. Flicker, D. Kazhdan, Metaplectic correspondence, Publ. Math. IHES 64 (1987), 53-110. | MR | Zbl | Numdam | DOI

[GGP-S] I.M. Gel'Fand, M.I. Graev,I.I. Pyateski-Shapiro, Representation Theory and Automorphic Functions, W.B.Sounders Company, 1969. | Zbl

[GJ] R. Godement, H. Jacquet, Zeta functions of simple algebras, SLN 260 (1972). | MR | Zbl

[Ha] P.R. Halmos, Mesure Theory, University Series in Higher Mathematics, VAN NOSTRAND. | MR | Zbl

[H-CvD] Harish-Chandra,G. Van Dijk, Harmonic Analysis on Reductive p-adic Groups, L.N.M., Springer-Verlag, 1970. | MR | Zbl

[H-C1] Harish-Chandra, Admissible invariant distributions on reductive p-adic groups, Queen's Papers in Pure and Applied Mathematics 48 (1978), 281-347. | MR | Zbl

[H-C2] Harish-Chandra, A submersion principle and its applications, Proc. Indian Acad.Sc. 90 (1981), 95-102. | MR | Zbl | DOI

[He1] G. Henniart, La conjecture de Langlands locale pour GL(3), Mém. de la S.M.F. (nouvelle série) 11/12, 1984. | MR | Numdam | Zbl

[He2] G. Henniart, On the Langlands conjecture for GL(n) : the cyclic case, Annals of Math. 123 (1986), 145-203. | MR | Zbl | DOI

[Ho] R. Howe, Harish-Chandra homomorphism for p-adic groups, Regional Conferences Series in Math., 59(1985), Amer.Math.Soc, Providence, R.I. | MR | Zbl | DOI

[Hu] J.E. Humphreys, Linear Algebraic Groups, Grad.Texts in Math. 21, Springer- Verlag. | MR | Zbl

[Ja] H. Jacquet, Représentations des groupes linéaires p-adiques, Theory of Group Representations and Fourier Analysis (Proceedings of a conference at Montecatini, 1970) C.I.M.E.. Editioni Cremonese, Rome 1971. | MR | Zbl

[JL] H. Jacquet, R.P. Langlands, Automorphic forms on GL(2), Lecture Notes 114, Springer 1970. | MR | Zbl

[JP-SS] H. Jacquet, I.I. Pyateski-Shapiro, J. Shalika, Conducteur des représentations du groupe linéaire, Math.Ann. 256, 1981, 199-214. | MR | Zbl | DOI

[Ka1] D. Kazhdan, Cuspidal geometry of p-adic groups, J. Analyse Math. 47 (1986), 1-36. | MR | Zbl | DOI

[Ka2] D. Kazhdan, Representations of groups over close local fields, J. Analyse Math. 47 (1986), 175-179. | MR | Zbl | DOI

[La] G. Laumon, Cohomology with compact support of Drinfeld modular varieties. | DOI

[Le1] B. Lemaire, thèse, Univ. Paris Sud, 1994.

[Le2] B. Lemaire, Intégrabilité locale des caractères-distributions de G L N ( F ) où F est un corps local non-archimédien de caractéristique quelconque, Compos. Math. 100 (1996), 41-75. | MR | Zbl | Numdam

[Le3] B. Lemaire, Intégrales orbitales sur GL(N) et corps locaux proches, Ann.Inst. Fourier 46 (1996), 1027-1056. | MR | Zbl | Numdam | DOI

[P-S] I.I. Pyateski-Shapiro, Multiplicity one theorems, Proc. of symp. in pure math vol.XXXIII, Part 1, 209-213. | MR | Zbl

[Pi] R.S. Pierce, Associative algebras, Grad. Texts in Math. 88. | MR | Zbl

[Ro1] J. Rogawski, An application of the building to orbital integrals, Comp.Math. 42, 1981, 417-423. | MR | Zbl | Numdam

[Ro2] J. Rogawski, Representations of GL(n) and division algebras over a p-adic field, Duke Math. J. 50 (1983), 161-201. | MR | Zbl | DOI

[Sh] J.A. Shalika, The Multiplicity one Theorem for GL(n), Ann. of Math. (2) 100, 1974. | MR | Zbl

[Sa] I. Satake, Theory of Spherical Functions on Reductive Algebraic Grpups over p-adic Fields, Publ.Math.I.H.E.S.18, (1963), 1-69. | MR | Numdam | DOI

[Si] A. Silberger Introduction to Harmonic Analysis on Reductive p-adic Groups, Ann. of Math. Studies, Princeton Univ. Press 23, (1973). | MR | Zbl

[Ta] M. Tadic, Induced representations of GL(n; A) for a p-adic division algebra A, J. Reine angew. Math. 405 (1990),48-77. | MR | Zbl

[Ti] J. Tits, Reductive Groups Over Local Fields, Proc. of symp. in pure math vol.XXXIII, Part 1, 29-69. | MR | Zbl

[Vi] M.-F. Vignéras, Caractérisation des intégrales orbitales sur un groupe réductif p-adique, J. Fac. Sc. Univ. Tokyo, Sec. IA 29 (1981), 945-962. | MR | Zbl

[We] A. Weyl, Basic Number Theory, Classics in Math., Springer-Verlag 1973. | MR | Zbl

[Ze] A. Zelevinski, Induced representations of reductive p-adic groups II, Ann. Sci. ENS 13 (1980), 165-210. | MR | Zbl | Numdam