Skip to main content
Log in

Irreducible decompositions of Fock representations of the Virasoro algebra

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

Abstract

Explicit irreducible decompositions of Fock representations of the Virasoro algebra are calculated. Each highest weight vector appearing in the decomposition is the character polynomial of a general linear group.

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. FeiginB.L. and FuksD.B., Funct. Anal. Appl. 16, 114 (1982).

    Google Scholar 

  2. FrenkelI.B., Lecture Notes in Mathematics 933, Springer, New York, 1982, p. 71.

    Google Scholar 

  3. Jimbo, M. and Miwa, T., ‘Solitons and Infinite Dimensional Lie Algebras’, preprint, RIMS-439 (1983).

  4. KacV.G., Lecture Notes in Physics 94, Springer, New York, 1978, p. 441.

    Google Scholar 

  5. KacV.G., Lecture Notes in Mathematics 933, Springer, New York, 1982, p. 117.

    Google Scholar 

  6. KashiwaraM. and MiwaT., Proc. Japan Acad. 57A, 342 (1981).

    Google Scholar 

  7. SatoM., RIMS-Kokyuroku 439, 30 (1981).

    Google Scholar 

  8. SegalG., Comm. Math. Phys. 80, 301 (1981).

    Google Scholar 

  9. Wakimoto, M., ‘Basic Representations of Extended Affine Lie Algebras’, to appear in RIMS-Kokyuroku (1983).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wakimoto, M., Yamada, H. Irreducible decompositions of Fock representations of the Virasoro algebra. Lett Math Phys 7, 513–516 (1983). https://doi.org/10.1007/BF00402251

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00402251

Keywords

Navigation