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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.
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。
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 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。
On Lie Algebra And Product Of Lie Group 关于李子群和李代数的讨论
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。
The Properties of Lie Algebras with Finite Number of Ideals 具有有限多个理想的李代数的性质
Evaluation Modules of Lie Algebras With a Triangular Decomposition 带三角分解李代数的赋值模
The Structure of Lie Algebra for a Sort of Evolution Equation 一类进化方程李代数的构造
The report was full of lies and prevarications. 这篇报道不是颠倒黑白就是含糊其辞。
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
What she told you was a pack of lies. 她对你说的话是一派谎言。
In this article, we give out that the homomorphism between vertex algebras can uniquely induce the homomorphism between local vertex Lie algebras which are constructed from the vertex algebra. 摘要进一步讨论局部顶点李代数同态与顶点代数同态之间的关系。受到文[5]中定理6.;5的启发，证明了顶点代数之间的同态可惟一地诱导出由它们构造所得的局部顶点李代数之间的同态。
The newspapers were full of lies. 报纸上一片谎言。
His honesty made him incapable of lying. 他的诚实使他不能撒谎。
It came out that he'd been telling a pack of lies. 后来才知道他一直在说谎。
He sailed into the witness, accusing him of lying. 他指责证人撒谎。
His story is nothing but a pack of lies. 他说的纯粹是一派鬼话。