Monomial Hopf algebras over fields of positive characteristic
文献类型：期刊论文
| 作者 | Liu, GX; Ye, Y |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2006-03-01 |
| 卷号 | 49期号:3页码:320-329 |
| 关键词 | monomial coalgebra Gaussian binomial coefficient monomial Hopf algebra |
| ISSN号 | 1006-9283 |
| DOI | 10.1007/s11425-006-0320-5 |
| 英文摘要 | In this paper, we study the structures of monomial Hopf algebras over a field of positive characteristic A necessary and sufficient condition for the monomial coalgebra C-d(n) to admit Hopf structures is given here, and if it is the case, all graded Hopf structures on C-d(n) are completely classified. Moreover, we construct a Hopf algebras filtration on C-d(n) which will help us to discuss a conjecture posed by Andruskiewitsch and Schneider. Finally combined with a theorem by Montgomery, we give the structure theorem for all monomial Hopf algebras. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000236874200003 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3296]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ye, Y |
| 作者单位 | 1.Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, GX,Ye, Y. Monomial Hopf algebras over fields of positive characteristic[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2006,49(3):320-329. |
| APA | Liu, GX,&Ye, Y.(2006).Monomial Hopf algebras over fields of positive characteristic.SCIENCE IN CHINA SERIES A-MATHEMATICS,49(3),320-329. |
| MLA | Liu, GX,et al."Monomial Hopf algebras over fields of positive characteristic".SCIENCE IN CHINA SERIES A-MATHEMATICS 49.3(2006):320-329. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。