QUASITRIANGULAR STRUCTURES ON POINTED HOPF ALGEBRAS OF RANK ONE
In this paper, the quasitriangular structures on a finite dimensional pointed Hopf algebra of rank one are investigated. A sufficient and necessary condition for a finite dimensional pointed Hopf algebra of rank one to be quasitriangular is given. As an example, all quasitriangular structures on a finite dimensional pointed Hopf algebra of rank one such that the group of group-like elements is cyclic are completely described. In particular, quasitriangular structures on Sweedler’s four dimensional Hopf algebra are recovered.
quasitriangularstructure,pointedrankoneHopfalgebra, classification.
