Classification of pointed rank one Hopf algebras

被引：20
|
作者：
Scherotzke, Sarah [1 ]
机构：
[1] Univ Oxford, Inst Math, Oxford OX1 3LB, England
来源：
JOURNAL OF ALGEBRA | 2008年 / 319卷 / 07期
关键词：
Hopf algebras; pointed; rank one;
D O I：
10.1016/j.jalgebra.2008.01.028
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We classify pointed rank one Hopf algebras over fields of prime characteristic which are generated as algebras by the first term of the coradical filtration. We obtain three types of Hopf algebras presented by generators and relations. For Hopf algebras with semi-simple coradical only the first and second type appears. We determine the indecomposable projective modules for certain classes of pointed rank one Hopf algebras. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：2889 / 2912
页数：24
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