Skip to main content
SpringerLink
Log in

The decomposition of a quasiregular representation of the Lie group by the orbit method

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

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. A. Kirillov, “Unitary representations of nilpotent Lie groups,” Usp. Mat. Nauk,17, No. 4 (1962).

  2. R. Abraham, Foundation of Mechanics, Benjamin, New York (1967).

    Google Scholar 

  3. V. I. Arnold and A. Avez, Ergodic Problems of Classical Mechanics, W. A. Benjamin, New York (1968).

    Google Scholar 

  4. L. D. Faddeev, “Feynman integrals for singular Lagrangians,” Teor. Mat. Fiz.,1, No. 1 (1969).

  5. A. A. Kirillov, “Constructions of unitary irreducible representations of Lie groups,” Vestn. Mosk. Gos. Univ., Mat., Mekh., No. 2 (1970).

  6. A. A. Kirillov, Lecture on the Theory of Group Representations. IV (Representations of Groups and Mechanics).

  7. P. A. M. Dirac, Principles of Quantum Mechanics, Oxford Univ. Press (1958).

Download references

Authors
  1. V. I. Shubov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. Y. A. Steklova AN SSSR, Vol. 37, pp. 77–96, 1973.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shubov, V.I. The decomposition of a quasiregular representation of the Lie group by the orbit method. J Math Sci 8, 229–246 (1977). https://doi.org/10.1007/BF01084959

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01084959

Keywords

Search

Navigation