| 群Yetter-Drinfel'd范畴中的Hopf代数 |
| |
| 引用本文： | 沈炳良,王栓宏.群Yetter-Drinfel'd范畴中的Hopf代数[J].数学研究及应用,2009,29(2):266-274. |
| |
| 作者姓名： | 沈炳良 王栓宏 |
| |
| 作者单位： | 东南大学数学系, 江苏 南京 210096;东南大学数学系, 江苏 南京 210096 |
| |
| 基金项目： | 教育部博士点专项基金(No.20060286006); 国家自然科学基金(No.10571026). |
| |
| 摘 要： | In this note we first show that if H is a finite-dimensional Hopf algebra in a group Yetter-Drinfel＇d category L^LyD（π） over a crossed Hopf group-coalgebra L, then its dual H^＊ is also a Hopf algebra in the category L^LyD（π）. Then we establish the fundamental theorem of Hopf modules for H in the category L^LyD（π）.
|
| 关 键 词： | 群Yetter-Drinfel'd范畴 Hopf代数 群模块代数 余代数 |
| 收稿时间： | 2007/10/31 0:00:00 |
| 修稿时间： | 7/7/2008 12:00:00 AM |
Hopf Algebras in Group Yetter-Drinfel'd Categories |
| |
| SHEN Bing Liang and WANG Shuan Hong.Hopf Algebras in Group Yetter-Drinfel'd Categories[J].Journal of Mathematical Research with Applications,2009,29(2):266-274. |
| |
| Authors: | SHEN Bing Liang and WANG Shuan Hong |
| |
| Institution: | Department of Mathematics, Southeast University, Jiangsu 210096, China;Department of Mathematics, Southeast University, Jiangsu 210096, China |
| |
| Abstract: | In this note we first show that if $H$ is a finite-dimensional Hopf algebra in a group Yetter-Drinfel'd category $^{L} _{L}{\mathcal {YD}}(\pi)$ over a crossed Hopf group-coalgebra $L$, then its dual $H^*$ is also a Hopf algebra in the category $^{L} _{L}{\mathcal {YD}}(\pi) $. Then we establish the fundamental theorem of Hopf modules for $H$ in the category $^{L} _{L}{\mathcal {YD}}(\pi)$. |
| |
| Keywords: | Crossed Hopf group-coalgebra group-comodulelike object group-(co)module (co)algebra |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
