On quiver-theoretic description for quasitriangularity of Hopf algebras
On quiver-theoretic description for quasitriangularity of Hopf algebras
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DOI：
10.1016/j.jalgebra.2010.02.041
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发表时间：
2009-10
期刊：
影响因子：
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通讯作者：
Hua-Lin Huang;Gongxiang Liu
中科院分区：
文献类型：
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作者：
Hua-Lin Huang;Gongxiang Liu
本文利用Hopf代数方法研究了Hopf代数的拟三角性。我们给出了一个组合描述的Hopf箭图的道路余代数产生的余拟三角Hopf代数。借助于这一背景，我们研究了一般余拟三角点Hopf代数，得到了特征为0的代数闭域上有限维余拟三角点Hopf代数的一个完全分类.
This paper is devoted to the study of the quasitriangularity of Hopf algebras via Hopf quiver approaches. We give a combinatorial description of the Hopf quivers whose path coalgebras give rise to coquasitriangular Hopf algebras. With a help of the quiver setting, we study general coquasitriangular pointed Hopf algebras and obtain a complete classification of the finite-dimensional ones over an algebraically closed field of characteristic 0.