N. Y. Reshetikhin and V. G. Turaev, “Ribbon Graphs and their Invariants Derived from Quantum Groups,” Communications in Mathematical Physics, Vol. 127, No. 1, 1990, pp. 1-26.

has been cited by the following article:

• 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.