Skip to main content
Log in

Orthosymplectic representations of Lie superalgebras

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

We investigate when an irreducible finite-dimensional representation of a Lie superalgebra is orthosymplectic. Then we turn to basic classical Lie superalgebras and give the conditions for orthosymplecticity in terms of Kac-Dynkin labels.

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.

Similar content being viewed by others

References

  1. Mal'cev, A. I., Am. Math. Soc. Transl. No. 33, 172 (1950).

  2. DynkinE. B., Am. Math. Soc. Transl., ser. 2, 6, 111 (1957).

    Google Scholar 

  3. KacV. G., Adv. Math. 26, 8 (1977); original reference: Kac, V. G., Funct. Anal. Appl. 9, 263 (1975).

    Google Scholar 

  4. ScheunertM., Springer Lecture Notes in Mathematics, 716, Springer, Berlin, 1979.

    Google Scholar 

  5. ScheunertM., NahmW., and RittenbergV., J. Math. Phys. 17, 1626, 1640 (1976).

    Article  Google Scholar 

  6. BarsI., Physica (Utrecht) D15, 42 (1985) and references therein.

    Google Scholar 

  7. KacV. G., Springer Lecture Notes in Mathematics 676, Springer, Berlin, 1978, p. 579.

    Google Scholar 

  8. MorelB., PateraJ., SharpR. T., and Van derJeugtJ., Indices of representations of simple superalgebras, J. Math. Phys. 28, 1673 (1987).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Van Der Jeugt, J. Orthosymplectic representations of Lie superalgebras. Lett Math Phys 14, 285–291 (1987). https://doi.org/10.1007/BF00402137

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00402137

Keywords

Navigation