JP Journal of Algebra, Number Theory and Applications
Volume 38, Issue 3, Pages 227 - 247
(June 2016) http://dx.doi.org/10.17654/NT038030227 |
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QUASITRIANGULAR STRUCTURES ON POINTED HOPF ALGEBRAS OF RANK ONE
Yanyan Xiao
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Abstract: 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. |
Keywords and phrases: quasitriangularstructure,pointedrankoneHopfalgebra, classification. |
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