| 与广义Cartan K型李代数有关的一类无限维李代数 |
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| 引用本文： | 张子龙,张更生,贾雨亭. 与广义Cartan K型李代数有关的一类无限维李代数[J]. 系统科学与数学, 2003, 23(1): 086-093 |
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| 作者姓名： | 张子龙 张更生 贾雨亭 |
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| 作者单位： | 河北师范大学数学与信息科学学院,石家庄,050016 |
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| 基金项目： | 河北省自然科学基金资助课题 |
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| 摘 要： | 本文主要引入了一类与广义Cartan K型李代数有关的无限维李代数,并讨论了 它的单性及任两个这类李代数的同构问题.
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| 关 键 词： | 广义Cartan K型李代数 单李代数 同构 |
| 修稿时间： | 2000-03-29 |
NEW SIMPLE INFINITE DIMENSIONAL LIE ALGEBRAS RELATED TO THOSE OF GENERALIZED CARTAN TYPE K LIE ALGEBRAS |
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| Zi Long ZHANG,Geng Shen ZHANG,Yu Ting JIA. NEW SIMPLE INFINITE DIMENSIONAL LIE ALGEBRAS RELATED TO THOSE OF GENERALIZED CARTAN TYPE K LIE ALGEBRAS[J]. Journal of Systems Science and Mathematical Sciences, 2003, 23(1): 086-093 |
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| Authors: | Zi Long ZHANG Geng Shen ZHANG Yu Ting JIA |
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| Affiliation: | College of Mathematics and Information Science. Rebel Normal University, Shijiazhuang 050016,P.R.China |
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| Abstract: | In the present paper, a new class of Lie algebras related to those of generalized Cartan type K Lie algebras is introduced. Furthermore, when these algebras are simple, all possible isomorphisms between two of these algebras are determined. |
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| Keywords: | Generalized Cartan type K Lie algebras simple Lie algebras isomorphisms. |
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