Skip to main content
SpringerLink
Log in

On the skew representations of the quantum affine algebra

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

An explicit realization of the skew representations of the quantum affine algebra U q (gl n ) is given. It is used to identify these representations in a simple way by calculating their highest weight, Drinfeld polynomials and the Gelfand-Tsetlin character (orq-character).

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. G.I. Olshanski: inTopics in Representation Theory, Advances in Soviet Math.2, Amer. Math. Soc., Providence RI, 1991, pp. 1–66.

  2. I.V. Cherednik: Duke Math. J.54 (1987) 563.

    Article  MATH  MathSciNet  Google Scholar 

  3. V.V. Bazhanov and N. Reshetikhin: J. Phys. A23 (1990) 1477.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. A.I. Molev: Discrete Math.46 (2002) 231.

    Article  MathSciNet  Google Scholar 

  5. W. Nakai and T. Nakanishi: J. Phys. A39 (2006) 2083.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. M. Nazarov and V. Tarasov: J. Reine Angew. Math.496 (1998) 181.

    MATH  MathSciNet  Google Scholar 

  7. E. Frenkel and E. Mukhin: Selecta Math.8 (2002) 537.

    MATH  MathSciNet  Google Scholar 

  8. V. Chari and A. Pressley:A guide to quantum groups. Cambridge University Press, 1994.

  9. J. Brundan and A. Kleshchev:Representations of shifted Yangians and finite W-algebras, preprint, math.RT/0508003.

  10. E. Frenkel and N. Reshetikhin: Contemp. Math.248 (1999) 163.

    MathSciNet  Google Scholar 

  11. H. Knight: J. Algebra174 (1995) 187.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, University of Sydney, 2006, Sydney, NSW, Australia

    Mark J. Hopkins & A. I. Molev

Authors
  1. Mark J. Hopkins
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. I. Molev
    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

Hopkins, M.J., Molev, A.I. On the skew representations of the quantum affine algebra. Czech J Phys 56, 1179–1184 (2006). https://doi.org/10.1007/s10582-006-0421-y

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10582-006-0421-y

PACS

Key words

Search

Navigation