| Two Kinds of Solvable Complete Lie Algebras |
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| 引用本文： | 朱林生. Two Kinds of Solvable Complete Lie Algebras[J]. 数学季刊, 1996, 11(3): 59-66 |
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| 作者姓名： | 朱林生 |
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| 作者单位： | Dept. of Math.，Changshu College，Changshu，215500，Jiangsu，China |
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| 基金项目： | Supported by National Science Foundation of Jiangau. |
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| 摘 要： | In this paper,we will give the definition of completable nilpotent Lie algebras,discuss its decomposition and prove that the heisenberg algebras and extensions of abelian quadratic Lie algebras are all completable nilpotent Lie algebras.
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| 关 键 词： | 可解完备李代数 HEISENBERG代数 完备幂零李代数 |
Two Kinds of Solvable Complete Lie Algebras |
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| Zhu Linsheng. Two Kinds of Solvable Complete Lie Algebras[J]. Chinese Quarterly Journal of Mathematics, 1996, 11(3): 59-66 |
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| Authors: | Zhu Linsheng |
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| Abstract: | In this paper,we will give the definition of completable nilpotent Lie algebras,discuss its decomposition and prove that the heisenberg algebras and extensions of abelian quadratic Lie algebras are all completable nilpotent Lie algebras. |
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| Keywords: | complete Lie algebra Heisenberg algebra abclian reqular quadratic Lie algebra |
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