Duality for a Lorentz quantum group |
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| Authors: | V. K. Dobrev Preeti Parashar |
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| Affiliation: | (1) International Centre for Theoretical Physics, PO Box 586, 34100 Trieste, Italy;(2) Present address: Bulgarian Academy of Sciences, Institute of Nuclear Research and Nuclear Energy, 72 Tsarigradsko Chaussee, 1784 Sofia, Bulgaria;(3) Present address: Department of Physics and Astronomy, University of Delhi, 110 007 Delhi, India |
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| Abstract: | We give the algebra  q/* dual to the matrix Lorentz quantum group q of Podles-Woronowicz, and Watamuraet al. As a commutation algebra, it has the classical form q/*  Uq(sl(2,  ))  Uq(sl(2, )). However, this splitting is not preserved by the coalgebra structure which we also give. For the derivation, we use a generalization of the approach of Sudbery, viz. tangent vectors at the identity. |
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| Keywords: | 17B37 16W30 81R50 |
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