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Differential geometry on linear quantum groups

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Abstract

An exterior derivative, inner derivation, and Lie derivative are introduced on the quantum group GL q (N). SL q (N) is then found by constructing matrices with determnant unity, and the induced calculus is found.

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Authors and Affiliations

  1. Department of Physics, University of California, 1 Cyclotron Road, 94720, Berkeley, CA, USA

    Peter Schupp, Paul Watts & Bruno Zumino

  2. Theoretical Physics Group, Physics Division, Lawrence Berkeley Laboratory, 1 Cyclotron Road, 94720, Berkeley, CA, USA

    Peter Schupp, Paul Watts & Bruno Zumino

Authors
  1. Peter Schupp
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  2. Paul Watts
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  3. Bruno 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 PHY90-21139.

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Schupp, P., Watts, P. & Zumino, B. Differential geometry on linear quantum groups. Lett Math Phys 25, 139–147 (1992). https://doi.org/10.1007/BF00398310

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