Differential calculus on the quantum superspace and deformation of phase space |
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| Authors: | Tatsuo Kobayashi Tsuneo Uematsu |
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| Affiliation: | 1. Department of Physics, College of Liberal Arts and Sciences, Kyoto University, 606, Kyoto, Japan
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| Abstract: | We investigate non-commutative differential calculus on the supersymmetric version of quantum space in which quantum supergroups are realized. Multiparametric quantum deformation of the general linear super-group,GL q(m|n), is studied and the explicit form for the (hat R - matrix) is presented. We apply these results to the quantum phase-space construction ofOSp q(2n|2m) and calculate their (hat R - matrices) . |
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