Skip to main content
SpringerLink
Log in

The realizations of the Lie algebraG 2

  • Papers
  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

In this paper we apply a previously published method [1] to the construction of boson realizations for Lie algebraG 2. These realizations are expressed by means of certain recurrent formulae in terms of five Bose pairs and generators of the subalgebrasl(2, R).

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.

Similar content being viewed by others

References

  1. Burdík Č.: J. Phys. A: Math. Gen.18 (1985) 3101.

    Google Scholar 

  2. Burdik Č.: Czech. J. Phys. B36 (1986) 1235.

    Google Scholar 

  3. Burdík Č.: J. Phys. A: Math. Gen.19 (1986) 2465.

    Google Scholar 

  4. Burdík Č.: J. Phys. A: Math. Gen.21 (1988) 289.

    Google Scholar 

  5. Jacobson N.: Exceptional Lie Algebras. Marcel Decker, New York, 1971.

    Google Scholar 

  6. Racah G.: Phys. Rev.76 (1949) 1352.

    Google Scholar 

  7. Behrends R. E., Dreitlein J., Fronsdal C., and Lee B. W.: Rev. Mod. Phys.34 (1962) 1.

    Google Scholar 

  8. Cvitanovic P.: Nucl. Phys. B188 (1981) 373.

    Google Scholar 

  9. Cremmer E. and Julia B.: Nucl. Phys. B159 (1971) 141.

    Google Scholar 

  10. Dorizzi B., Grammatices B., Padjen R., and Papageoirgou V.: J. Math. Phys.25, (1984) 2200.

    Google Scholar 

  11. Barut A. O. and Raczka R.: Theory of Group Representations and Applications. PWN, Warszaw, 1977.

    Google Scholar 

  12. Burdík Č, Havlíček M., and Thoma M.: Preprint PRA-HEP-90/11. Charles University, Prague, 1990.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Nuclear Centre, Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2, 180 00, Praha 8, Czech Republic

    Č. Burdík

  2. Institute of Geology, Czech Acad. Sci., Rozvojova 162, 160 00, Praha 6, Czech Republic

    O. Navrátil

  3. Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University, Trojanova 13, 120 00, Praha 2, Czech Republic

    M. Thoma

Authors
  1. Č. Burdík
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. Navrátil
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Thoma
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Burdík, Č., Navrátil, O. & Thoma, M. The realizations of the Lie algebraG 2 . Czech J Phys 43, 697–703 (1993). https://doi.org/10.1007/BF01607580

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01607580

Keywords

Search

Navigation