结果表明代数动力学方法对于具有非半单李代数结构的线性动力系统仍然适用。
It has also been shown that the algebraic dynamics might be generalized from the linear dynamic system with a semi-simple Lie algebra to that with a general Lie algebra.
李代数的抽象理论中很多重要的概念都来源于经典群论，完备李代数便是一个例子。
Many of important concepts in the theory of abstract Lie algebras come from classical theory of groups, for example, complete Lie algebras is a generalization of complete groups.
最后一部分中，我们讨论左对称代数和李代数上的左对称结构在着色李超代数中进一步的推广。
In the last part, we further generalize left symmetric algebra and left symmetric structure on Lie algebras into Lie color algebras.
元微分算子代数的导子李代数结构。
Lie algebras of derivations of n-differential operator algebra.
本文研究了含幺可换环上一般线性李代数的子代数结构。
In this paper, we study the subalgebra structure of the general linear Lie algebras over commutative rings.
代数群的连通正规闭子群与李代数的理想之间有很特殊的关系。
There are particular relations between the closed connected normal subgroups of algebraic groups and the ideals of Lie Algebras.
定理3 可解李三超系的任意包络李超代数是可解的，而且若李三超系有可解的包络李超代数，则它也是可解的。
Theorem 3 Any enveloping Lie superalgebra of a solvable Lie triple supersystem is solvable, and if a Lie triple supersystem has some solvable enveloping Lie superalgebra, it is solvable.
首先根据有限交换群上对称双特征标的概念，给出着色李超代数的定义，并介绍关于着色李超代数的一些基本概念与基础知识。
First, we give the definition of Lie color superalgebras using the symmetric bicharacter on a finite commutative group, and also we introduce some fundamental notions about Lie color superalgebras.
首先给出了典型李代数自同构的一些性质，接着用矩阵的形式具体给出典型李代数自同构共轭的充要条件，并计算了任意阶自同构的不动点集。
In this paper, some properties of automorphisms of classical Lie algebras was given first and then a classification of conjugacy automorphisms using only the matrix theory was presented.
本文将应用广义限制李代数的概念来研究具有三角分解李代数的积分元和中心扩张的关系。
In this paper, we apply the concept of the generalized restricted Lie algebra to study the relation of the integral and central extensions of a Lie algebra with a triangular decomposition.
具体确定了一类中心为二维的三步幂零李代数的导子代数，得到了导子代数的一些性质，并证明了这类幂零李代数是可完备化幂零李代数。
In this paper we explicitly determine the derivation algebras of a class of 3-step nilpotent Lie algebras, and obtain some properties of the derivation algebras.
代数群的连通正规闭子群与李代数的理想之间有很特殊的关系。
Some algebraic groups are discussed by looking into the lattice of their closed connected normal subgroups.
根据局部顶点李代数的同态，可惟一地诱导出由它们分别构造所得的顶点代数之间同态的理论。
The important relationship between local vertex Lie algebra and vertex algebra is stated so that we could construct a vertex algebra from local vertex Lie algebra.
另外，群体特性通过微分运算及其逆运算所得到的李代数的代数结构而得到了解释。
Lie's Theory Within the framework of Lie' Theory, we associate infinitesimal transformations making up a Lie algebra with finite operations which are obtained from the previous ones by exponentiation.
我们给出了有限维对称自对偶色李代数可以双扩张的充分条件，从而在上同调意义下解决了这类色李代数的分类问题；
We give a sufficient condition for a finite dimensional symmetric self-dual Lie color algebras to be a double extension, thus we solve its classification in the sense of cohomology;
构造了一类以5维最简线状3 -李代数为极大次幂零理想的可解3 -李代数，并且对构造的3 -李代数进行了分类。
A class of solvable 3-lie algebras with a 5-dimensional maximal hypo-nilpotent ideal, which is a 5-dimensional simplest filiform 3-lie algebra, is constructed.
根据三维可解rds型李代数的分类结果，构造了一类新的四维rds型李代数。
According to the classification of the 3-dimensional solvable RDS type Lie algebra, we constructed a new class of 4-dimensional RDS type Lie algebra.
根据三维可解rds型李代数的分类结果，构造了一类新的四维rds型李代数。
According to the classification of the 3-dimensional solvable RDS type Lie algebra, we constructed a new class of 4-dimensional RDS type Lie algebra.
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