Skip to main content

Extension des representations de groupes unipotents p-adiques Calculs d'obstructions

Part of the Lecture Notes in Mathematics book series (LNM,volume 880)

Keywords

  • Unitary Group Representation
  • Nous Noterons
  • Nous Utiliserons
  • Soit Encore
  • Nous Supposerons

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliographie

  1. P. BERNAT, N. CONZE, M. DUFLO, M. LEVY-NAHAS, M. RAIS, P. RENOUARD, M. VERGNE, Représentations des groupes de Lie résolubles, Dunod, Paris, (1972).

    MATH  Google Scholar 

  2. M. DUFLO, Sur les extensions des représentations irréductibles des groupes de Lie nilpotents, Ann. Sc. de l'E. N. S., 5(1972), p.71–120.

    MathSciNet  MATH  Google Scholar 

  3. H. FUJIWARA, G. LION, B. MAGNERON, Opérateurs d'entrelacement et calculs d'obstructions sur des groupes résolubles, Coll. de Marseille-Luminy (1980).

    Google Scholar 

  4. R. E. HOWE, The Fourier transform for nilpotent locally compact groups. Pac. J. of Math., Vol. 73 — No 2, (1977).

    Google Scholar 

  5. R. E. HOWE, Topics in harmonic analysis on solvable algebraic groups. Pac. J. of Math., Vol. 73 — No 2, (1977).

    Google Scholar 

  6. A. A. KIRILLOV, Unitary representations of nilpotent Lie groups, Uspekhi Mat. Nauk., Vol. 17, (1962), p. 57–110.

    MathSciNet  MATH  Google Scholar 

  7. G. LION, Intégrales d'entrelacement sur des groupes de Lie nilpotents et indices de Maslov, Colloque de Marseille-Luminy (1976), Lecture Notes No 587, Springer-Verlag, p. 160–176.

    Google Scholar 

  8. G. LION, M. VERGNE, The Weil representation, Maslov index and theta series, Progress in math No 6, Birkhauser, (1980), Cambridge U.S.A., C.H. 4010 Basel.

    Google Scholar 

  9. G. W. MACKEY, The theory of unitary group representations, Chicago Lectures in math, second edition (1976).

    Google Scholar 

  10. B. MAGNERON, Opérateurs d'entrelacement des représentations unitaires irréductibles des groupes de Lie nilpotents et indices de Maslov, Note aux C.R.A.S. de Paris, 290, Série A, (1980), p. 943.

    MathSciNet  MATH  Google Scholar 

  11. C. C. MOORE, Decomposition of unitary representations defined by discrete subgroups of nilpotent groups, Ann. of math 82, (1965), p. 146–182.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. P. PERRIN, Représentations de Schrödinger, indices de Maslov et groupe métaplectique, Coll. de Marseille-Luminy (1980).

    Google Scholar 

  13. R. RAO, On some explicit formulas in the theory of Weil representation, (Preprint).

    Google Scholar 

  14. A. WEIL, Sur certains groupes d'opérateurs unitaires, Acta Math. 111, (1964), p. 143–211.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Lion, G., Perrin, P. (1981). Extension des representations de groupes unipotents p-adiques Calculs d'obstructions. In: Carmona, J., Vergne, M. (eds) Non Commutative Harmonic Analysis and Lie Groups. Lecture Notes in Mathematics, vol 880. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090415

Download citation

  • DOI: https://doi.org/10.1007/BFb0090415

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10872-6

  • Online ISBN: 978-3-540-38783-1

  • eBook Packages: Springer Book Archive