Skip to main content
SpringerLink
Log in

Subalgebras of the algebra of a conformal group with nontrivial center

  • Elementary Particle Physics and Field Theory
  • Published:
Soviet Physics Journal Aims and scope

Abstract

A similarity relationship is set up in the set of subalgebras with a nontrivial center of a conformal group algebra that separates it into classes of mutually similar subalgebras. In all 24 different classes of similar subalgebras are obtained and one representative is described in each class. All the nonequivalent two-dimensional commutative subalgebras of a conformal group algebra are obtained as an illustration of applying such a subalgebra system. The results of the research can be used to obtain the solutions of conformally invariant equations in the separated variables.

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

Similar content being viewed by others

Literature cited

  1. V. N. Shapovalov, Differents. Uravn.,16, No. 10, 1864–1874 (1980).

    Google Scholar 

  2. V. N. Shapovalov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 5, 116–122 (1978); No. 6, 7-10 (1978).

    Google Scholar 

  3. B. A. Dubrovin, S. P. Novikov, and A. G. Fomenko, Modern Geometry [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  4. A. A. Kirillov, Elements of the Theory of Representations [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  5. A. I. Mal'tsev, Principles of Linear Algebra [in Russian], Nauka, Moscow (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. V. D. Kuznetsov Siberian Physicotechnical Institute, Tomsk State University, USSR

    V. G. Bagrov, B. F. Samsonov, A. V. Shapovalov & I. V. Shirokov

Authors
  1. V. G. Bagrov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. F. Samsonov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. V. Shapovalov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. I. V. Shirokov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 45–48, May, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bagrov, V.G., Samsonov, B.F., Shapovalov, A.V. et al. Subalgebras of the algebra of a conformal group with nontrivial center. Soviet Physics Journal 33, 416–419 (1990). https://doi.org/10.1007/BF00896080

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00896080

Keywords

Search

Navigation