| 余德民,丁卫平,郭晋云.一类只有两个不同非零交换理想的无限维李代数[J].数学年刊A辑,2012,33(3):291~296 |
| 一类只有两个不同非零交换理想的无限维李代数 |
| An Infinite Dimensional Lie Algebra with Two Different Non-zero Abelian Ideals |
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| DOI： |
| 中文关键词: 李代数 理想 中心 |
| 英文关键词:Lie algebra, Ideal, Central |
| 基金项目:湖南省自然科学基金，湖南省教育厅一般项目，湖南省重点建设学科资助的项目 |
| Author Name | Affiliation | E-mail | | YU Demin | Department of Mathematics, Hunan Institute of Science and Technology,
Yueyang 414006, Hunan, china | yudeming8640024@126.com | | DING Weiping | Department of Mathematics, Hunan Institute of Science and Technology,
Yueyang 414006, Hunan, china | dingweiping@126.com | | GUO Jinyun | College ofMathematics and Computing Science, Xiangtan University, Xiangtan
417000, Hunan, china | gjy@xtu.edu.cn |
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| 中文摘要: |
| 构造了一类无限维李代数,它是无中心的Virasoro李代数的推广,且只有两个不同的非零交换的理想.还研究了这类李代数的理想、中心和子代数. |
| 英文摘要: |
| In this paper, an infinite dimensional Lie algebra is constructed. This infinite
dimensional Lie algebra is a generalization of the centerless Virasoro Lie algebra, and only
has two different non-zero Abelian ideas. Its ideals, central and subalgebras are studied. |
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