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Analysis of the basic matrix representation ofGL q(2,C)

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Zeitschrift für Physik C Particles and Fields

Abstract

We investigate the quantum deformation of the group of 2×2 matrices. We show that then-th power of a quantum matrix corresponds to then-th power of the deformation parameter. We also prove that a quantum matrix can be expressed as the exponential of a matrix with suitable non-commuting matrix elements.

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Author notes

  1. S. P. Vokos

    Present address: Argonne National Laboratory, 9700 South Cass Avenue, 60439, Argonne, IL, USA

Authors and Affiliations

  1. Lawrence Berkeley Laboratory and Department of Physics, University of California, 94720, Berkeley, USA

    S. P. Vokos & B. Zumino

  2. Institut für Theoretische Physik, Universität Karlsruhe, D-7500, Karlsruhe, Federal Republic of Germany

    J. Wess

Authors
  1. S. P. Vokos
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  2. B. Zumino
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  3. J. Wess
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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 PHY85-15857

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Vokos, S.P., Zumino, B. & Wess, J. Analysis of the basic matrix representation ofGL q(2,C). Z. Phys. C - Particles and Fields 48, 65–74 (1990). https://doi.org/10.1007/BF01565606

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  • DOI: https://doi.org/10.1007/BF01565606

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