Duke Mathematical Journal

Representations quadratiques unipotentes: des groupes classiques $p$-adiques

C. Mœglin

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Article information

Duke Math. J. Volume 84, Number 2 (1996), 267-332.

First available in Project Euclid: 19 February 2004

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 22E50: Representations of Lie and linear algebraic groups over local fields [See also 20G05]
Secondary: 11F70: Representation-theoretic methods; automorphic representations over local and global fields 22E35: Analysis on $p$-adic Lie groups


Mœglin, C. Representations quadratiques unipotentes: des groupes classiques p -adiques. Duke Math. J. 84 (1996), no. 2, 267--332. doi:10.1215/S0012-7094-96-08410-0. http://projecteuclid.org/euclid.dmj/1077243832.

Export citation


  • [Ad] J. Adams, $L$-functoriality for dual pairs, Astérisque (1989), no. 171-172, 85–129, dans Orbites unipotentes et représentations II. Groupes $p$-adiques et réels.
  • [A1] J. Arthur, Unipotent automorphic representations: conjectures, Astérisque (1989), no. 171-172, 13–71.
  • [A2] J. Arthur, Unipotent automorphic representations: global motivation, Automorphic forms, Shimura varieties, and $L$-functions, Vol. I (Ann Arbor, MI, 1988) eds. L. Clozel and J. S. Milne, Perspect. Math., vol. 10, Academic Press, Boston, MA, 1990, pp. 1–75.
  • [H1] R. Howe, Automorphic forms of low rank, Noncommutative harmonic analysis and Lie groups (Marseille, 1980), Lecture Notes in Math., vol. 880, Springer, Berlin, 1981, pp. 211–248.
  • [H2] R. Howe, On a notion of rank for unitary representations of the classical groups, Harmonic analysis and group representations, Liguori, Naples, 1982, pp. 223–331.
  • [K] N. Kawanaka, Shintani lifting and Gelfand-Graev representations, The Arcata Conference on Representations of Finite Groups (Arcata, Calif., 1986), Proc. Sympos. Pure Math., vol. 47, Amer. Math. Soc., Providence, RI, 1987, pp. 147–163.
  • [Ko] B. Kostant, The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group, Amer. J. Math. 81 (1959), 973–1032.
  • [Ku] S. Kudla, On the local theta-correspondence, Invent. Math. 83 (1986), no. 2, 229–255.
  • [Li] Jian-Shu Li, Automorphic forms with degenerate Fourier coefficients, prépublication, Univ. of Maryland, 1994.
  • [Lu] G. Lusztig, Intersection cohomology complexes on a reductive group, Invent. Math. 75 (1984), no. 2, 205–272.
  • [M1] C. Mœglin, Représentations unipotentes et formes automorphes de carré intégrable, Forum Math. 6 (1994), no. 6, 651–744.
  • [M2] C. Mœglin, Front d'onde des groupes classiques $p$-adiques, prépublication, 1993.
  • [M3] C. Mœglin, Une conjecture sur le spectre résiduel, prépublication, 1994.
  • [M4] C. Mœglin, Correspondance de Howe et Front d'onde, prépublication, 1995.
  • [MVW] C. Mœglin, M.-F. Vignéras, and J.-L. Waldspurger, Correspondances de Howe sur un corps $p$-adique, Lecture Notes in Math., vol. 1291, Springer-Verlag, Berlin, 1987.
  • [MW] C. Mœglin and J.-L. Waldspurger, Modèles de Whittaker dégénérés pour des groupes $p$-adiques, Math. Z. 196 (1987), no. 3, 427–452.