Skip to main content
SpringerLink
Log in

The basic representation of the extended affine Lie algebra of type A sup(1)inf1 and the BKP hierarchy

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

Abstract

Tensor product of the basic representation of the extended affine Lie algebra of type A sup(1)inf1 is discussed through the vertex operator of {ie133-1}. The highest irreducible component of the tensor product is characterized by the BKP hierarchy.

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

References

  1. Date, E., Jimbo, M., Kashiwara, M., and Miwa, T., Physica 4D, 343 (1982).

    Google Scholar 

  2. Date, E., Jimbo, M., Kashiwara, M., and Miwo, T., Publ. RIMS, Kyoto Univ. 18, 1077 (1982).

    Google Scholar 

  3. Jimbo, M. and Miwa, T., Publ. RIMS, Kyoto Univ. 19, 943 (1983).

    Google Scholar 

  4. Kac, V. G., Infinite Dimensional Lie Algebras, Birkhäuser, 1983.

  5. Lepowsky, J. and Wilson, R. L., Commun. Math. Phys. 62, 43 (1978).

    Google Scholar 

  6. Wakimoto, M., RIMS-Kokyroky, Kyoto Univ. 503, 36 (1983).

    Google Scholar 

  7. Wakimoto, M., ‘Virasoro Algebras and Highest Weight Modules of Affine Lie Algebras’, preprint.

  8. Wakimoto, M. and Yamada, H., Lett. Math. Phys., 7, 513 (1983).

    Google Scholar 

  9. Yamada, H., ‘The Virasoro Algebra and the KP Hierarchy’, to appear in V. G. Kac (ed.), Proc. MSRI Conf. on Infinite Dimensional Lie Groups.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Hiroshima University, 730, Hiroshima, Japan

    Hirofumi Yamada

Authors
  1. Hirofumi Yamada
    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

Yamada, H. The basic representation of the extended affine Lie algebra of type A sup(1)inf1 and the BKP hierarchy. Lett Math Phys 9, 133–137 (1985). https://doi.org/10.1007/BF00400710

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00400710

Keywords

Search

Navigation