Quasitriangular pointed Hopf algebras constructed by Ore extensions

被引：5
|
作者：
Nenciu, A [1 ]
机构：
[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2004年 / 7卷 / 02期
关键词：
Hopf algebras; R-matrix; quasi-ribbon element; ribbon element; Drinfel'd double;
D O I：
10.1023/B:ALGE.0000026785.03997.60
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the quasitriangular structures for a family of pointed Hopf algebras which is big enough to include Taft's Hopf algebras H(n)2, Radford's Hopf algebras H-N,H-n,H-q,H-v and E(n). We give necessary and sufficient conditions for the Hopf algebras in our family to be quasitriangular. For the case when they are, we determine completely all the quasitriangular structures. Also, we determine the ribbon elements of the quasitriangular Hopf algebras and the quasi-ribbon elements of their Drinfel'd double.
引用
收藏
页码：159 / 172
页数：14
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