Diagrams of Hopf algebras with the Chevalley property

被引：0
|
作者：
Zhong-ping Fan
Di-ming Lu
Xiao-lan Yu
机构：
[1] Ocean University of China,School of Mathematical Science
[2] Zhejiang University,Department of Mathematics
[3] Hangzhou Normal University,Department of Mathematics
来源：
Applied Mathematics-A Journal of Chinese Universities | 2016年 / 31卷
关键词：
Hopf algebra; coalgebra; coradical; Nichols algebra; pointed; Chevalley property; 16T05; 16T15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study non-cosemisimple Hopf algebras through their underlying coalgebra structure. We introduce the concept of the maximal pointed subcoalgebra/Hopf subalgebra. For a non-cosemisimple Hopf algebra A with the Chevalley property, if its diagram is a Nichols algebra, then the diagram of its maximal pointed Hopf subalgebra is also a Nichols algebra. When A is of finite dimension, we provide a necessary and sufficient condition for A’s diagram equaling the diagram of its maximal pointed Hopf subalgebra.
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页码：367 / 378
页数：11
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