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Ribbon Element on Co-Frobenius Quasitriangular Hopf Algebras
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Applied Mathematics·Volume 01 (2010)·Pages 230–233·Published 29 September 2010·DOI10.4236/am.2010.13028
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Abstract
Let (H, R) be a co-Frobenius quasitriangular Hopf algebra with antipode S. Denote the set of group-like elements in H by G (H). In this paper, we find a necessary and sufficient condition for (H, R) to have a ribbon element. The condition gives a connection with the order of G (H) and the order of S2.
KeywordsCo-Frobenius Hopf AlgebraRibbon Element
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