TITLE:
Ribbon Element on Co-Frobenius Quasitriangular Hopf Algebras
AUTHORS:
Guohua Liu
KEYWORDS:
Co-Frobenius Hopf Algebra, Ribbon Element
JOURNAL NAME:
Applied Mathematics,
Vol.1 No.3,
September
29,
2010
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.