| 结合李三元组的性质 |
| |
| 引用本文： | 巩优花,王宪栋.结合李三元组的性质[J].青岛大学学报(自然科学版),2009,22(2):15-18. |
| |
| 作者姓名： | 巩优花 王宪栋 |
| |
| 作者单位： | 青岛大学数学科学学院,青岛,266071 |
| |
| 摘 要： | 引入了结合李三元组的概念，讨论了此代数结构的一些基本性质。特别是，确定了sl（2）的结合李三元组的结构及其有限维不可约模，最后得到著名结论——李代数sl（2）上不存在左对称结构的新证明。
|
| 关 键 词： | 结合李三元组 不可约模 左对称结构 |
On Properties Of Associative-Lie Triples |
| |
| GONG You-hua,WANG Xian-dong.On Properties Of Associative-Lie Triples[J].Journal of Qingdao University(Natural Science Edition),2009,22(2):15-18. |
| |
| Authors: | GONG You-hua WANG Xian-dong |
| |
| Institution: | College of Mathematics;Qingdao University;Qingdao 266071;China |
| |
| Abstract: | In this paper,the concept of an associative-Lie triple is introduced,and some fundamental properties of this algebraic structure are discussed.Particularly,the associative-Lie triple structures related to sl(2) and its finite dimensional irreducible modules are determined.As a consequence we obtain the well-known fact that there exists no left symmetric structures on the Lie algebra sl(2). |
| |
| Keywords: | Associative-Lie triple Irreducible module Left symmetric structure |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
