Lie algebras of derivations of n-differential operator algebra.
元微分算子代数的导子李代数结构。
We study the structure and properties of a necklace Lie algebra.
本文探讨项链李代数的结构及性质。
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。
In this paper, we extend the concept of quantum Lie algebra to two-parameter case.
本文把量子李代数的概念推广到了双参数的情形。
Using the method of nonlinear Lie algebra, the tensors of ladder operators are obtained.
用非线性李代数方法 ，对关于角动量的阶梯算符进行了研究。
The conclusion is that the theoretical foundation of commutative hyper-operator method is Lie algebra.
结论是交换超算符方法的理论基础是李代数。
Based on modern differential geometric approach and Lie algebra, nonlinear control theory has formed a new theoretical branch.
基于近代微分几何理论与李代数之上的非线性控制理论形成了一新的理论分支。
We prove that as a generalized restricted Lie algebra, the induced modules of s (m; n) are objects of the (?) -module category.
证明了广义限制李代数意义下的诱导模成为(？)-模范畴对象。
In the last part, we further generalize left symmetric algebra and left symmetric structure on Lie algebras into Lie color algebras.
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 study of SCARA's kinematics, POE is used to obtain positive, inverse and jacobian solution, based of screw, Lie groups and Lie algebra.
SCARA运动学的研究中，以旋量，李群李代数为基础的POE指数积法求解运动学正解，逆解以及速度雅可比。
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。
By using an algebraic method related to su(3) Lie algebra, exact solutions of the eigenvalue problem of the reduced Hamiltonian are derived analytically.
介绍了导出平均场加一般对力核多体问题粒子数守恒严格解的无穷维李代数方法。
Using the notion of coefficient matrix and maximal element. We prove that the Lie algebra is semi-simple and it has no abelian two dimensional subalgebra.
利用系数矩阵和极大项，证明了这类李代数是半单李代数且没有二维交换子代数。
By using decomposition of exponential operators, the normal and antinormal ordering product of Boson exponential operators for SU(1,1) Lie algebra are given.
通过指数算符的分解，给出了SU（1，1）李代数玻色指数算符的正规和反正规乘积。
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.
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。
In the first paper of the second part , it studies two dimensional noncommutative Lie algebra and its solvability, completeness and nonsemisimplicity and so on .
在第二部分第一篇论文中，我们系统研究了二维非交换李代数及其全形的可解性、完备性与非半单性等性质。
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.
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。
In this paper, we define real form of infinite rank affine Lie Algebra and we also give its some types of compact real form which is proved unique under automorphism.
给出了无限秩仿射李代数的实形和某种类型的紧效实形的定义，并证明了这种紧致实形在自同构下的唯一性。
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.
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。
When the set of roots for a semi-simple Lie algebra have been selected appropriately, the scalar product of the weights of the elementary representation can be calculated.
在适当地选取了半单李代数的根系之后，就可算出初等表示权的标积。
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.
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, the symmetries and Lie algebra of a coupled nonlinear wave equation were discussed. One-parameter transformation groups of this equation were obtained by using the symmetries.
主要考虑非线性波方程组的一些简单对称及其构成的李代数，并利用所得对称给出该方程组的一些单参数变换群。
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.
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.
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。
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