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Firstly, we prove three equivalent conditions for a solvable n-Lie algebra. Subsequently, mimicking the Borel subalgebra theory of Lie algebras, we give the definition of a Borel n-subalgebra of an n-Lie algebra, and prove two propositions about it. 第三节，证明了可解n-李代数的三个等价条件，并仿照李代数理论中的Borel子代数的定义，给出了Borel n-子代数的定义及相关性质。
In section 2, we firstly give the relationship between the involutionary automorphism of Lie algebra and standard imbedding Lie algebra of Lie triple system. 其中包括李三系的子系、理想、单李三系、可解、半单、标准嵌入李代数以及李三系的同态等。
In this paper, the conclusion is that the intersection of lie subring of a Lie group is a Lie subring is obtained, moreover,it gives the Lie algebra of the Lie subring. 文章通过李子群的性质得出了李群的两个李子群的交依然是李子群的结论,进而得出这一李子群的李代数形式。
In this paper,the devivation algebra Dery of Lie algebra is given,y which is thd direct sum of a Heisenbery algebra H and an abelian &. It is proved that Dery id a simple complete Lie algebra. 文中给出了一个Heisenberg代数与一个交换Lie代数的直和的导子代数，证明了给出的导子代数为一个单完备Lie代数
In the paper,we discuss some properties of prolongation in which the voctor field X of the manifold M polongs to the Cotangent Bundle T *M,and the Prolongation of the Lie algebra of Lie groups. 文章讨论了流形M上的向量场X在其余切丛T*M上的拓展的几个性质,并讨论了李群上李代数的拓展。
Chevalley, Claude. Theory of Lie groups, I. Princeton, Princeton University Press, 1946. 《李群理论（一）》.;普林斯顿:普林斯顿大学出版社;1946年
Modern algebras, Homological algebras, Representation theory of algebras, Lie algebras, Hopf algebras. 教课领域：近世代数, 同调代数, 代数表示, 李代数，Hopf代数；
In this paper,the theory of constructing PES of polyatomic molecules by dynamic Lie algebraic method is presented,and its application in different molecular systems is introduced. 本文主要介绍了用动力学李代数方法构造多原子分子势能面的理论方法,及其在不同分子体系中的应用。
On Lie Algebra And Product Of Lie Group 关于李子群和李代数的讨论
Einstein put forward his new theory of relativity. 爱因斯坦提出了相对论的新学说。
The main work of this paper is to study the RDS-type Lie Algebra. 本论文的主要工作就是对RDS型李代数进行研究。
Einstein's theory of relativity. 爱因斯坦的相对论。
On Polynomial Representations of Lie Algebras, Zhuo Chen, Long-Guang He and De-shou Zhong , N.E. Math J. to appear. 半单李代数的单纯作用，陈酌与祁玉海，数学年刊，刊印中.
Do you agree to the wave theory of light? 你同意光的波动理论吗？
The underlying concepts are based on differential geometry and theory of Lie groups in the mathematical aspect, and on transformation symmetries and gauge theory in the physical aspect. 基础的概念在数学方面基于不同谎话组的几何学和理论，并且关于在物理方面的转变对称性和计量器理论。
He cavalierly dismisses the theory of both Freud and Jung. 他傲慢武断地斥贬佛洛依德和杨格二人的理论。
The Structure of Lie Algebra for a Sort of Evolution Equation 一类进化方程李代数的构造
Darwin put forth the theory of evolution,. 达尔文提出了进化论。
An extension of Lie algebra and a related integrable system 推广的一类Lie代数及其相关的一族可积系统
The report was full of lies and prevarications. 这篇报道不是颠倒黑白就是含糊其辞。