Représentations modulaires de G L ( 2 , F ) en caractéristique l , F corps p -adique, p l

Marie-France Vignéras

Compositio Mathematica (1989)

  • Volume: 72, Issue: 1, page 33-66
  • ISSN: 0010-437X

How to cite


Vignéras, Marie-France. "Représentations modulaires de $GL(2, F)$ en caractéristique $l$, $F$ corps $p$-adique, $p\ne l$." Compositio Mathematica 72.1 (1989): 33-66. <>.

author = {Vignéras, Marie-France},
journal = {Compositio Mathematica},
keywords = {modular representations; local archimedean field; ; irreducible representations; character; Borel subgroup; cuspidal; Whittaker models; restriction},
language = {fre},
number = {1},
pages = {33-66},
publisher = {Kluwer Academic Publishers},
title = {Représentations modulaires de $GL(2, F)$ en caractéristique $l$, $F$ corps $p$-adique, $p\ne l$},
url = {},
volume = {72},
year = {1989},

AU - Vignéras, Marie-France
TI - Représentations modulaires de $GL(2, F)$ en caractéristique $l$, $F$ corps $p$-adique, $p\ne l$
JO - Compositio Mathematica
PY - 1989
PB - Kluwer Academic Publishers
VL - 72
IS - 1
SP - 33
EP - 66
LA - fre
KW - modular representations; local archimedean field; ; irreducible representations; character; Borel subgroup; cuspidal; Whittaker models; restriction
UR -
ER -


  1. I. Bernstein, A. Zelevinski.Representations of the group GL(n, F) over a local field. Russian Math Surveys (1976) vol. 3. Zbl0348.43007
  2. Armand Borel.Admissible Representations of a Semi-Simple Group over a Local Field with Vectors Fixed under an Iwahori Subgroup. Inventiones math: 35, (1976) 233-259. Zbl0334.22012MR444849
  3. Henri Carayol.Représentations cuspidales du groupe linéaire. Ann. Scient. Ec. Norm. Sup.4° série, t.17, (1984) p. 191 à 225. Zbl0549.22009MR760676
  4. William Casselman.Introduction to the theory of admissible representations of p-adic reductive groups. Preprint. Zbl0472.22004
  5. P. Deligne.Formes modulaires et représentations de GL(2). Dans: Modular functions of one variable II. Springer-Verlag Lecture Notes349, 1973. Zbl0271.10032MR347738
  6. Roger Godement.Notes on Jacquet-Langlands theory. The Institute for Advanced Study, 1970. 
  7. Roger Howewith the collaboration of Allen Moy.Harish-Chandra Homomorphism for p-adic groups. CBMS notes 59, Amer. Math. Soc. Providence R.I.1985. Zbl0593.22014MR821216
  8. H. Jacquet, R.P. Langlands.Automorphic Forms on GL(2). Springer-Verlag Lecture Notes114,1970. Zbl0236.12010MR401654
  9. H. Jacquet, I.I. Piatetski-Shapiro, and J. Shalika.Conducteur des représentations du groupe linéaire. Math. Ann.256, 199-214. Zbl0443.22013MR620708
  10. Alain Robert.Modular Representations of the Group GL(2) over a Local Field. Journal of Algebra22, (1972) 386-405. Zbl0241.20033MR304562
  11. John Tate.Number Theory Background, dans Automorphic Forms, Representations and L-functions, Proceedings of Symposia in Pure Mathematics, vol. XXXIII, part 2, A.M.S. Providence Rhode Island, 1979. Zbl0422.12007MR546607
  12. Jean-Pierre Serre.Représentations linéaires des groupes finis. Hermann. Zbl0407.20003
  13. Goro Shimura.Introduction to the arithmetic theory of automorphic functions. Tokyo-Princeton, 1971. Zbl0221.10029MR314766
  14. Marie-France Vignéras.[1] Représentations modulaires de GL(2, F) en caractéristique l, F corps fini de caractéristique p ≠ l. Preprint 1987. [2] Correspondance modulaire galois-quaternions pour un corps p-adique. Preprint 1987. MR939030

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