Classical r-matrices of two- and three-dimensional Lie superbialgebras and their Poisson-Lie supergroups |
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| Authors: | A. Eghbali A. Rezaei-Aghdam |
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| Affiliation: | 1. Department of Physics, Faculty of Science, Azarbaijan Shahid Madani University, Tabriz, Iran
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| Abstract: | We obtain the classical r-matrices of two- and three-dimensional Lie superbialgebras. We thus classify all two- and three-dimensional coboundary Lie superbialgebras and their types (triangular, quasitriangular, or factorable). Using the Sklyanin superbracket, we then obtain the super Poisson structures on the related Poisson-Lie supergroups. |
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