On Quasitriangular Structures in Hopf Algebras Arising from Exact Group Factorizations |
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Authors: | Sonia Natale |
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Affiliation: | 1. Facultad de Matemática, Astronomía y Física , Universidad Nacional de Córdoba, CIEM – CONICET , Córdoba, Argentina natale@famaf.unc.edu.ar |
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Abstract: | We show that bicrossed product Hopf algebras arising from exact factorizations in almost simple finite groups, so in particular, in simple and symmetric groups, admit no quasitriangular structure. |
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Keywords: | Almost simple group Matched pair of groups Quasitriangular Hopf algebra Semisimple Hopf algebra |
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