Skip to main content
Log in

RationalR-matrices and exceptional lie algebras

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

We give a brief introduction to our work in math. QA/0608248: an explicit construction of certain rationalR-matrices associated with the exceptionale 6 ande 7 series of Lie algebras, which explains Westbury’s observation of their uniform spectral decompositions.

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. C.N. Yang: Phys. Rev. Lett.19 (1967) 1312.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. A. Zamolodchikov and Al. Zamolodchikov: Ann. Phys.120 (1979) 253.

    Article  ADS  MathSciNet  Google Scholar 

  3. B. Berg, M. Karowski, P. Weisz, and V. Kurak: Nucl. Phys. B134 (1978) 125.

    Article  ADS  MathSciNet  Google Scholar 

  4. E. Ogievetsky: J. Phys. G12 (1986) L105.

    Google Scholar 

  5. B. Westbury: J. Phys. A36 (2003) 2857.

    Article  ADS  MathSciNet  Google Scholar 

  6. J. Tits: Prog. Colloq. Utrecht135 (1962).

  7. H. Freudenthal: Adv. Math.1 (1963) 145.

    Article  MathSciNet  Google Scholar 

  8. P. Kulish, N. Reshetikhin, and E. Sklyanin: Lett. Math. Phys.5 (1981) 393.

    Article  MATH  MathSciNet  Google Scholar 

  9. E. Ogievetsky and P. Wiegmann: Phys. Lett. B168 (1986) 360.

    Article  ADS  MathSciNet  Google Scholar 

  10. N. MacKay: J. Phys. A25 (1992) L1343; hep-th/9207015.

  11. P. Cvitanović: Phys. Rev. D14 (1976) 1536.

    Article  ADS  MathSciNet  Google Scholar 

  12. P. Cvitanović:Group Theory, web book, at http://www.nbi.dk/GroupTheory/; Princeton University Press to appear.

  13. H. Freudenthal: Proc. Kon. Ned. Akad. Wetensch. A57 (1954) 218.

    Google Scholar 

  14. N.J. MacKay and A. Taylor: math.QA/0608248.

  15. R. Brown: J. Reine Angew. Math.236 (1969) 79.

    MATH  MathSciNet  Google Scholar 

  16. V. Chari and A. Pressley: J. Reine Angew. Math.417 (1991) 87.

    MATH  MathSciNet  Google Scholar 

  17. P. Vogel:The universal Lie algebra, preprint, University of Paris 7, 1999.

  18. P. Dorey, A. Pocklington, and R. Tateo: Nucl. Phys. B661 (2003) 425; hep-th/0208111.

    Article  MATH  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

MacKay, N.J., Taylor, A. RationalR-matrices and exceptional lie algebras. Czech J Phys 56, 1231–1236 (2006). https://doi.org/10.1007/s10582-006-0430-x

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10582-006-0430-x

PACS

Key words

Navigation