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Ribbon Element on Co-Frobenius Quasitriangular Hopf Algebras

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DOI: 10.4236/am.2010.13028    6,671 Downloads   10,067 Views   Citations
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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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

G. Liu, "Ribbon Element on Co-Frobenius Quasitriangular Hopf Algebras," Applied Mathematics, Vol. 1 No. 3, 2010, pp. 230-233. doi: 10.4236/am.2010.13028.

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