Pointed Hopf algebras of finite corepresentation type and their classifications
文献类型：期刊论文
| 作者 | Liu, Gongxiang; Li, Fang |
| 刊名 | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2007 |
| 卷号 | 135期号:3页码:649-657 |
| ISSN号 | 0002-9939 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000242238300004 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4429]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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