Skip to main content
Log in

Explicit realization of a metaplectic representation

  • Published:
Journal d’Analyse Mathematique Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. I. Bernstein and A. Zelevinsky,Representations of the group GL(n, F)where F is a non-archimedean local field, Russ. Math. Surv.31 (1976), 1–68.

    Article  MATH  Google Scholar 

  2. I. Bernstein and A. Zelevinski,Induced representations of reductive groups I, Ann. Sci. Ec. Norm. Super.10 (1977), 441–472.

    MATH  Google Scholar 

  3. W. Casselman,Characters and Jacquet modules, Math. Ann.230 (1977), 101–105.

    Article  MathSciNet  Google Scholar 

  4. Y. Flicker,Automorphic forms on covering groups of GL(2), Invent. Math.57 (1980), 119–182.

    Article  MATH  MathSciNet  Google Scholar 

  5. Y. Flicker,Explicit realization of a higher metaplectic representation, Indag. Math. (1990), to appear.

  6. Y. Flicker and D. Kazhdan,Metaplectic correspondence, Publ. Math. IHES64 (1987), 53–110.

    Google Scholar 

  7. Y. Flicker and D. Kazhdan,On the symmetric square: Unstable local transfer, Invent. Math.91 (1988), 493–504.

    Article  MATH  MathSciNet  Google Scholar 

  8. Y. Flicker and J. G. M. Mars,Summation formulae, automorphic realizations and a special value of Eisenstein series, J. Number Theory (1990), to appear.

  9. R. Howe and C. Moore,Asymptotic properties of unitary representations, J. Funct. Anal.32 (1979), 72–96.

    Article  MATH  MathSciNet  Google Scholar 

  10. A. Kirillov,Elements of the Theory of Representations, Grundlehren 220, Springer-Verlag, Berlin, 1976.

    Google Scholar 

  11. D. Kazhdan and S. J. Patterson,Metaplectic forms, Publ. Math. IHES59 (1984), 35–142.

    MATH  MathSciNet  Google Scholar 

  12. D. Kazhdan and S. J. Patterson,Towards a generalized Shimura correspondence, Adv. in Math.60 (1986), 161–234.

    Article  MATH  MathSciNet  Google Scholar 

  13. J. Milnor,An introduction to algebraic K-theory, Ann. Math. Stud.72 (1971).

  14. P. Torasso, Quantification géométrique, opérateurs d’entrelacements et représentations unitaires de SL(3, R), Acta Math.150 (1983), 153–242; voir aussi:Quantification géométrique et représentations de SL3(R), C. R. Acad. Sci. Paris291 (1980), 185–188.

    Article  MathSciNet  Google Scholar 

  15. A. Weil,Sur certains groupes d’opérateurs unitaires, Acta Math.111 (1964), 143–211.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Partially supported by an NSF grant and a Seed grant. This author wishes to express his deep gratitude to IHES for its hospitality when the paper was written.

Partially supported by an NSF grant.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Flicker, Y., Kazhdan, D. & Savin, G. Explicit realization of a metaplectic representation. J. Anal. Math. 55, 17–39 (1990). https://doi.org/10.1007/BF02789195

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02789195

Keywords

Navigation