Skip to main content
Log in

Note on moufang-noether currents

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

The derivative Noether currents generated by continuous Moufang transformations are constructed and their equal-time commutators are found. The corresponding charge algebra turns out to be a birepresentation of the tangent Mal’tsev algebra of an analytic Moufang loop.

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. S.-G. Jo: Phys Lett. B163 (1985) 353.

    Article  ADS  MathSciNet  Google Scholar 

  2. A.J. Niemi and G.W. Semenoff: Phys. Rev. Lett. B55 (1985) 927.

    Article  ADS  MathSciNet  Google Scholar 

  3. R. Moufang: Math. Ann. B110 (1935) 416.

    Article  MathSciNet  Google Scholar 

  4. H. Pflugfelder:Quasigroups and Loops: Introduction. Heldermann Verlag, Berlin, 1990.

    Google Scholar 

  5. A.I. Mal’tsev: Matem. Sbornik36 (1955) 569 (in Russian).

    Google Scholar 

  6. E. Paal: Acta Appl. Math.50 (1998) 77.

    Article  MATH  MathSciNet  Google Scholar 

  7. E. Paal: Czech. J. Phys.54 (2004) 1375.

    Article  MathSciNet  Google Scholar 

  8. R.D. Schafer:An Introduction to Nonassociative algebras. Academic Press, New York, 1966.

    MATH  Google Scholar 

  9. K. Yamaguti: Kumamoto J. Sci. A5 (1962) 203;6 (1963) 9.

    MathSciNet  Google Scholar 

  10. O. Loos: Pacific J. Math.18 (1966) 553.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The paper was in part supported by the Estonian Science Foundation, Grant 5634.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Paal, E. Note on moufang-noether currents. Czech J Phys 56, 1257–1262 (2006). https://doi.org/10.1007/s10582-006-0434-6

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10582-006-0434-6

PACS

Key words

Navigation