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1·Lie algebras of derivations of n-differential operator algebra.

元微分算子代数的导子李代数结构。

2·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。

3·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。

4·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。

5·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。

6·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。

7·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。

8·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。

9·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。

10·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。