Properties of pointed and connected Hopf algebras of finite Gelfand-Kirillov dimension

被引：32
|
作者：
Zhuang, Guangbin [1 ]
机构：
[1] Univ Washington, Dept Math, Seattle, WA 98195 USA
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2013年 / 87卷
基金：
美国国家科学基金会;
关键词：
SUBALGEBRAS;
D O I：
10.1112/jlms/jds079
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let H be a pointed Hopf algebra. We show that under some mild assumptions H and its associated graded Hopf algebra gr H have the same Gelfand-Kirillov dimension (GK-dimension). As an application, we prove that the GK-dimension of a connected Hopf algebra is either infinity or a positive integer. We also classify connected Hopf algebras of GK-dimension 3 over an algebraically closed field of characteristic 0.
引用
收藏
页码：877 / 898
页数：22
相关论文
共 50 条
12345