Skip to main content

Les représentations des groupes réductifs p-adiques et leurs caractères

  • 550 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 567)

This is a preview of subscription content, access via your institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliographie

  1. I. N. BERNSHTEIN-All reductive p-adic groups are tame, Journ. Funct. Anal. and its appl., 8 (1974), p. 91–93.

    CrossRef  MATH  Google Scholar 

  2. A. BOREL et J. TITS-Groupes réductifs, Publ. Math. I.H.E.S., 27 (1965), p. 55–151.

    MathSciNet  Google Scholar 

  3. F. BRUHAT et J. TITS-Groupes réductifs sur un corps local I, Publ. Math. I.H.E.S., 41 (1972), p. 5–251.

    MATH  MathSciNet  Google Scholar 

  4. P. CARTIER-Vecteurs différentiables dans les représentations unitaires des groupes de Lie, Sém. Bourbaki (nov. 1974), exposé 454, Lecture Notes in Maths, vol. 514, Springer-Verlag, Berlin, 1976.

    Google Scholar 

  5. W. CASSELMAN-An assortment of results on representations of GL2(k), in Modular Functions of one variable II, p. 1–54, Lecture Notes in Maths, vol. 349, Springer-Verlag, Berlin, 1973.

    Google Scholar 

  6. W. CASSELMAN-The restriction of a representation of GL2(k) to GL2(k), Math. Annalen, 206 (1973), p. 311–318.

    CrossRef  MATH  MathSciNet  Google Scholar 

  7. W. CASSELMAN-The Steinberg character as a true character, in Harmonic Analysis on homogeneous spaces, p. 413–417, American Math. Soc., Providence, 1973.

    Google Scholar 

  8. J. DIXMIER-Les C*-algèbres et leure représentations, Gauthier-Villars, Paris, 1969.

    MATH  Google Scholar 

  9. R. GODEMENT-A theory of spherical functions, Trans. A.M.S., 73 (1952), p. 496–556.

    CrossRef  MATH  MathSciNet  Google Scholar 

  10. HARISH-CHANDRA-Harmonic analysis on reductive p-adic groups, in Harmonic Analysis on homogeneous spaces, p. 167–192, American Math. Soc., Providence, 1973.

    Google Scholar 

  11. HARISH-CHANDRA (Notes by G. van DIJK)-Harmonic analysis on reductive p-adic groups, Lecture Notes in Maths, vol. 162, Springer-Verlag, Berlin, 1970.

    Google Scholar 

  12. R. HOWE-Two Conjectures about reductive p-adic groups, in Harmonic Analysis on homogeneous spaces, p. 377–380, American Math. Soc., Providence, 1973.

    Google Scholar 

  13. R. HOWE-Some qualitative results on the representation theory of GLn over a p-adic field, notes miméographiées.

    Google Scholar 

  14. H. JACQUET-Représentations des groupes linéaires p-adiques, Theory of group representations and harmonic analysis (C.I.M.E., II Ciclo, Montecatini Terme, 1970), Edizioni Cremonese, Rome, 1971, p. 119–220.

    Google Scholar 

  15. H. JACQUET and R. LANGLANDS-Automorphic forms on GL(2), Lecture Notes in Maths, vol. 114, Springer-Verlag, Berlin, 1970.

    MATH  Google Scholar 

  16. R. GODEMENT and H. JACQUET-Zeta Functions of simple algebras, Lecture Notes in Maths, vol. 260, Springer-Verlag, Berlin, 1972.

    MATH  Google Scholar 

  17. Ph. KUTZKO-Mackey’s theorem for non-unitary representations, à paraître.

    Google Scholar 

  18. Ph. KUTZKO-On the supercuspidal representations of GL2, à paraître à l’Amer. Journal Math.

    Google Scholar 

  19. F. I. MAUTNER-Spherical functions over p-adic fields, II, Amer. Journ. Math., 86 (1964), p. 171–200.

    CrossRef  MATH  MathSciNet  Google Scholar 

  20. R. R. RAO-Orbital integrals in reductive groups, Ann. of Maths, 96 (1972), p. 505–510.

    CrossRef  MATH  Google Scholar 

  21. J. SHALIKA-A theorem on semi-simple ℘-adic groups, Ann. of Maths, 95 (1972), p. 226–242.

    CrossRef  MATH  MathSciNet  Google Scholar 

  22. J. SHALIKA-Representations of the two by two unimodular group over local fields, Seminar on Lie group representations, Institute for Advanced Study, Princeton, 1965 (miméographié).

    Google Scholar 

  23. A. J. SILBERGER-PGL2 over the p-adics: its Representations, Spherical Functions, and Fourier Analysis, Lecture Notes in Maths, vol. 166, Springer-Verlag, Berlin, 1970.

    Google Scholar 

  24. G. van DIJK-Harmonic analysis on reductive p-adic groups (after Harish-Chandra), Séminaire Bourbaki, (nov. 1970), exposé 387, Lecture Notes in Mathematics, vol. 244, Springer Verlag, Berlin, 1971.

    Google Scholar 

  25. V. S. VARADARAJAN-The theory of characters and the discrete series for semisimple Lie groups, in Harmonic Analysis on homogeneous spaces, p. 45–99, American Math. Soc., Providence, 1973.

    Google Scholar 

  26. I. N. BERNSHTEIN et A. V. ZELEVINSKII-Représentations du groupe GL(n,F), F est un corps local non-archimédien (en russe), Uspkhi Math. Nauk, 31 (1976), p. 5–70.

    Google Scholar 

  27. A. BOREL-Admissible representations of a semi-simple group over a local field with vectors fixed under a Iwahori subgroup, Inv. Math., 35(1976), p. 233–259.

    CrossRef  MATH  MathSciNet  Google Scholar 

  28. W. CASSELMAN-Some general results in the theory of admissible representations of p-adic reductive groups, notes miméographiées.

    Google Scholar 

  29. HARISH-CHANDRA-The Characters of reductive p-adic groups, notes miméographiées, Princeton, 1976.

    Google Scholar 

  30. HARISH-CHANDRA-The Plancherel formula for reductive p-adic groups, notes miméographies, Princeton, 1976.

    Google Scholar 

  31. R. HOWE-Tamely ramified supercuspidal representations of Gln, notes miméographiées.

    Google Scholar 

  32. R. HOWE-The Fourier transform and germs of characters (Case of Gln over a p-adic field), Math. Annalen, 208 (1974), p. 305–322.

    CrossRef  MATH  MathSciNet  Google Scholar 

  33. R. HOWE-On the principal series of Gln over p-adic fields, Trans. Amer. Math. Soc., 177 (1973), p. 275–286.

    CrossRef  MATH  MathSciNet  Google Scholar 

  34. R. HOWE-On the asymptotic behavior of matrix coefficients, notes miméographiées.

    Google Scholar 

  35. R. HOWE and A. J. SILBERGER-Why any unitary principal series representation of SLn over a p-adic field decomposes simpliy, Bull. Amer. Math. Soc., 81 (1975), p. 599–601.

    CrossRef  MATH  MathSciNet  Google Scholar 

  36. A. J. SILBERGER-On complementary series, Discrete series, and the Plancherel measure for a p-adic group, notes miméographiées.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1977 N. Bourbaki

About this paper

Cite this paper

Cartier, P. (1977). Les représentations des groupes réductifs p-adiques et leurs caractères. In: Séminaire Bourbaki vol. 1975/76 Exposés 471–488. Lecture Notes in Mathematics, vol 567. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0096058

Download citation

  • DOI: https://doi.org/10.1007/BFb0096058

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08064-0

  • Online ISBN: 978-3-540-37514-2

  • eBook Packages: Springer Book Archive