| pq3维半单Hopf代数的结构 |
| |
| 引用本文： | 董井成,戴 丽. pq3维半单Hopf代数的结构[J]. 吉林大学学报(理学版), 2013, 51(6): 1013-1018 |
| |
| 作者姓名： | 董井成 戴 丽 |
| |
| 作者单位： | 1. 东南大学 数学系, 南京 210096; 2. 南京农业大学 工学院, 南京 210031 |
| |
| 摘 要： | 通过分析半单Hopf代数类群元所构成群的阶数, 得到了特征为零代数闭域上pq 3维半单Hopf代数的结构: 它们或者是半可解的, 或者同构于Radford双积R#A, 其中: p,q是满足条件p>q 2的素数; A是q 3维半单Hopf代数; R是Yetter-Drinfeld模范畴中的p维半单Hopf代数.
|
| 关 键 词： | 半单Hopf代数 半可解性 Radford双积 特征标 Drinfeld偶 |
| 收稿时间： | 2013-02-21 |
Structure of Semisimple Hopf Algebras of pq3 -Dimension |
| |
| DONG Jing cheng,DAI Li. Structure of Semisimple Hopf Algebras of pq3 -Dimension[J]. Journal of Jilin University: Sci Ed, 2013, 51(6): 1013-1018 |
| |
| Authors: | DONG Jing cheng DAI Li |
| |
| Affiliation: | 1. Department of Mathematics, Southeast University, Nanjing 210096, China; 2. College of Engineering, Nanjing Agricultural University, Nanjing 210031, China |
| |
| Abstract: | Analyzing the order of the group consisting of group|like elements of a semisimple Hopf algebra, the authors obtained the structures of semisimple Hopf algebras of dimension pq3 over an algebraically closed field of characteristic 0: they are either semisolvable, or isomorphic to a Radford biproduR#A, where p,q are prime numbers to meet the needs of p>q 2,A is a semisimple Hopf algebra of dimension q 3, R is a semisimple Yetter-Drinfeld Hopf algebra in of dimension p. |
| |
| Keywords: | semisimple Hopf algebra semisolvability Radford biproduct character Drinfeld double |
|
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《吉林大学学报(理学版)》下载全文 |
|
