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Six generatorq-deformed Lorentz algebra
Authors:O Ogievetsky  W B Schmidke  J Wess  B Zumino
Institution:(1) Werner-Heisenberg-Institut für Physik, Max-Planck-Institut für Physik und Astrophysik, P.O. Box 40 12 12, D8000 Munich 40, Germany;(2) Present address: Theoretical Department, P. N. Lebedev Physical Institute, Leninsky prospect 53, 117924 Moscow, U.S.S.R.;(3) Sektion Physik, Universität München, Theresienstr. 37, D8000 Munich 2, Germany;(4) Department of Physics, University of California, 94720 Berkeley, CA, U.S.A.;(5) Theoretical Physics Group, Physics Division, Lawrence Berkeley Laboratory, 1 Cyclotron Road, 94720 Berkeley, CA, U.S.A.
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.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.
Keywords:16W30  81R05
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