| 量子群${cal U}_q(osp(1,2,f))$的结构 |
| |
| 引用本文： | 侯波,张子龙,蔡炳苓. 量子群${cal U}_q(osp(1,2,f))$的结构[J]. 数学研究及应用, 2011, 31(3): 451-461 |
| |
| 作者姓名： | 侯波 张子龙 蔡炳苓 |
| |
| 作者单位： | 河北师范大学数学与信息科学学院, 河北 石家庄 050016;河北师范大学数学与信息科学学院, 河北 石家庄 050016;河北师范大学数学与信息科学学院, 河北 石家庄 050016 |
| |
| 基金项目： | 国家自然科学基金(Grant Nos.10971049;10971052);河北省自然科学基金(Grant No.A2008000135;A2009000253). |
| |
| 摘 要： | In this paper we construct a new quantum group Uq（osp（1,2,f））,which can be seen as a generalization of Uq（osp（1,2））.A necessary and sufficient condition for the algebra Uq（osp（1,2,f）） to be a super Hopf algebra is obtained and the center Z（Uq（osp（1,2,f））） is given.
|
| 关 键 词： | super Hopf algebra quantum Casimir element Verma module. |
| 收稿时间： | 2009-04-14 |
| 修稿时间： | 2010-05-04 |
The Structure of Quantum Group ${cal U}_q(osp(1,2,f))$ |
| |
| Bo HOU,Zi Long ZHANG and Bing Ling CAI. The Structure of Quantum Group ${cal U}_q(osp(1,2,f))$[J]. Journal of Mathematical Research with Applications, 2011, 31(3): 451-461 |
| |
| Authors: | Bo HOU Zi Long ZHANG Bing Ling CAI |
| |
| Affiliation: | College of Mathematics and Information Science, Hebei Normal University, Hebei 050016, P. R. China;College of Mathematics and Information Science, Hebei Normal University, Hebei 050016, P. R. China;College of Mathematics and Information Science, Hebei Normal University, Hebei 050016, P. R. China |
| |
| Abstract: | In this paper we construct a new quantum group ${cal U}_q(osp(1,2,f))$, which can be seen as a generalization of ${cal U}_q(osp(1,2))$. A necessary and sufficient condition for the algebra ${cal U}_q(osp(1,2,f))$ to be a super Hopf algebra is obtained and the center $Z({cal U}_q(osp(1,2,f)))$ is given. |
| |
| Keywords: | super Hopf algebra quantum Casimir element Verma module. |
| 本文献已被 维普 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》下载全文 |
|
