Skip to main content
SpringerLink
Log in

Intertwining operators for U(n, 1)

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. A. U. Klimyk, “Structure of elementary representations of U(n, 1),” in: Papers in Mathematics [in Russian], Naukova Dumka, Kiev (1976), pp. 214–218.

    Google Scholar 

  2. G. Schiffmann, “Integrales d'entrelacement et fonctions de Whittaker,” Bull. Soc. Math. France,99, 3–72 (1971).

    Google Scholar 

  3. A. W. Knapp and E. M. Stein, “Intertwining operators for semisimple groups,” Ann. of Math.,93, 489–578 (1971).

    Google Scholar 

  4. K. Johnson and N. R. Wallach, “Composition series and intertwining operators for the spherical principal series,” Bull. Amer. Math. Soc.,78, 1053–1059 (1972).

    Google Scholar 

  5. D. P. Zhelobenko, Harmonic Analysis on Semisimple Complex Lie Groups [in Russian], Nauka, Moscow (1974), p. 240.

    Google Scholar 

  6. I. M. Gel'fand and M. L. Tsetlin, “Finite-dimensional representations of the group of unimodular matrices,” Dokl. Akad. Nauk SSSR,71, No. 5, 825–828 (1950).

    Google Scholar 

  7. A. U. Klimyk and V. A. Shirokov, “Representations of the Lie groups U(n, 1), IU(n) and their algebras. I,” Preprint ITP-74-141, Kiev (1974), pp.3–40; II, Preprint ITP-74-143, Kiev (1974), pp. 3–30.

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical Physics, Academy of Sciences of the Ukrainian SSR, USSR

    A. M. Gavrilik & A. U. Klimyk

Authors
  1. A. M. Gavrilik
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. U. Klimyk
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 28, No. 6, pp. 803–807, November–December, 1976.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gavrilik, A.M., Klimyk, A.U. Intertwining operators for U(n, 1). Ukr Math J 28, 617–620 (1976). https://doi.org/10.1007/BF01094129

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01094129

Search

Navigation