Pointed Hopf algebras of finite corepresentation type and their classifications

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	Pointed Hopf algebras of finite corepresentation type and their classifications
	Liu, Gongxiang ; Li, Fang
	2007
发表期刊	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9939
卷号	135 期号:3 页码:649-657
摘要	Let k be an algebraically closed field. The main goal of this paper is to classify the finite-dimensional pointed Hopf algebras over k of finite corepresentation type. To do so, we give a necessary and sufficient condition for a basic Hopf algebra over k to be of finite representation type firstly. Explicitly, we prove that a basic Hopf algebra over k is of finite representation type if and only if it is Nakayama. By this conclusion, we classify all finite-dimensional pointed Hopf algebras over k of finite corepresentation type.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000242238300004
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4430
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Gongxiang
作者单位	1.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China
推荐引用方式 GB/T 7714	Liu, Gongxiang,Li, Fang. Pointed Hopf algebras of finite corepresentation type and their classifications[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2007,135(3):649-657.
APA	Liu, Gongxiang,&Li, Fang.(2007).Pointed Hopf algebras of finite corepresentation type and their classifications.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,135(3),649-657.
MLA	Liu, Gongxiang,et al."Pointed Hopf algebras of finite corepresentation type and their classifications".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 135.3(2007):649-657.