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Six generatorq-deformed Lorentz algebra

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Abstract

The six generator deformation of the Lorentz algebra is presented. The Hopf algebra structure and the reality conditions are found. The chiral decomposition of SL(2, C) is generalized to theq-case. Casimir operators for theq-Lorentz algebra are given.

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References

  1. Schmidke, W. B., Wess, J., and Zumino, B., Aq-deformed Lorentz algebra, preprint MPI-Ph/91-15, to be published inZ. Phys. C Particles and Fields.

  2. Drabant, B., Schlieker, M., Weich, W., and Zumino, B., Complex quantum groups and their universal enveloping algebras, preprint LMU-PPW 1991–5.

  3. Woronowicz, S. L., Twisted SU(2) group. An example of noncommutative differential calculus,Publ. Res. Inst. Math. Sci. 23, 117–181 (1987); Group structure on noncommutative spaces,Fields and Geometry 1986, Proceedings of the XXIInd Winter School and Workshop of Theoretical Physics, Karpacz, Poland, World Scientific, Singapore; pp. 478–496,Comm. Math. Phys. 111, 613–665 (1987).

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Author notes

  1. O. Ogievetsky

    Present address: Theoretical Department, P. N. Lebedev Physical Institute, Leninsky prospect 53, 117924, Moscow, U.S.S.R.

Authors and Affiliations

  1. Werner-Heisenberg-Institut für Physik, Max-Planck-Institut für Physik und Astrophysik, P.O. Box 40 12 12, D8000, Munich 40, Germany

    O. Ogievetsky, W. B. Schmidke & J. Wess

  2. Sektion Physik, Universität München, Theresienstr. 37, D8000, Munich 2, Germany

    J. Wess

  3. Department of Physics, University of California, 94720, Berkeley, CA, U.S.A.

    B. Zumino

  4. Theoretical Physics Group, Physics Division, Lawrence Berkeley Laboratory, 1 Cyclotron Road, 94720, Berkeley, CA, U.S.A.

    B. Zumino

Authors
  1. O. Ogievetsky
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  2. W. B. Schmidke
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  3. J. Wess
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  4. B. Zumino
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Additional information

This work was supported in part by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract DE-AC03-76SF00098 and in part by the National Science Foundation under grant PHY-85-15857.

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Ogievetsky, O., Schmidke, W.B., Wess, J. et al. Six generatorq-deformed Lorentz algebra. Lett Math Phys 23, 233–240 (1991). https://doi.org/10.1007/BF01885501

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  • DOI: https://doi.org/10.1007/BF01885501

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