| 由特殊箭图诱导的项链李子代数 |
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| 引用本文： | 余德民,卢才辉.由特殊箭图诱导的项链李子代数[J].数学年刊A辑(中文版),2018,39(3):331-340. |
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| 作者姓名： | 余德民 卢才辉 |
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| 作者单位： | 湖南理工学院数学学院;首都师范大学数学与计算机科学学院 |
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| 基金项目： | 本文受到国家自然科学基金(No.11771135)的资助. |
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| 摘 要： | 无限维项链李代数是新的一类无限维李代数,本文重点讨论了由特殊箭图诱导的项链李子代数,并证明了其中一些李子代数是半单李代数.
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| 关 键 词： | 项链李代数、 半单李代数、 子代数 |
| 收稿时间： | 2015/2/13 0:00:00 |
Necklace Lie Subalgebras Induced by Some Special Arrow |
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| YU Demin and LU Caihui.Necklace Lie Subalgebras Induced by Some Special Arrow[J].Chinese Annals of Mathematics,2018,39(3):331-340. |
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| Authors: | YU Demin and LU Caihui |
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| Institution: | College of Mathematics, Hunan
Institute of Science and Technology,
Yueyang 414006, Hunan, China. and College of Mathematics and Computing
Science, Capital Normal University Beijing, 100037, China. |
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| Abstract: | In this paper, a new infinite dimensional
necklace Lie algebra is studied. Some Lie
subalgebras induced by some special arrow are mainly discussed. It is proved that some Lie subalgebras are semi-simple Lie algebra. |
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| Keywords: | Necklace Lie algebra Semi-simple Lie algebra Subalgebra |
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