Skip to main content
Log in

Representations of twisted Yangians

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

Abstract

We study highest weight representations of certain Yangian-type ‘quantum’ algebras connected with the series B, C, D of complex classical Lie algebras. In the symplectic case, we obtain a complete parametrization of irreducible finite-dimensional representations in terms of their highest weights. We apply these results to the well-known missing label problem in the reduction sp(2n)↓sp(2n−2).

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. Drinfeld, V. G., Soviet Math. Dokl. 32, 245–258 (1985).

    Google Scholar 

  2. Olshanski i, G. I., Twisted Yangians and infinite-dimensional classical Lie algebras, Preprint CWI, Amsterdam, Report AM-R9021 (1990).

  3. Drinfeld, V. G., Soviet Math. Dokl. 36, 212–216 (1988).

    Google Scholar 

  4. Tarasov, V. O., Theoret. Math. Phys. 61 (1984).

  5. Tarasov, V. O., Theoret. Math. Phys. 63 (1985).

  6. Chari, V. and Pressley, A., Strings, quantum Vandermonde determinants and representations of Yangians, Preprint Tata Institute (1989).

  7. Zhelobenko, D. P., Soviet Math. Dokl. 28, 696–700 (1983).

    Google Scholar 

  8. Zhelobenko, D. P., Soviet Math. Dokl. 28, 777–781 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Molev, A.I. Representations of twisted Yangians. Lett Math Phys 26, 211–218 (1992). https://doi.org/10.1007/BF00420754

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00420754

Mathematics Subject Classifications (1991)

Navigation