FOR more than a century mathematicians have known about Lie groups.
数学家对李群的认识已经有一个多世纪了。
They want to create anatlas of maps of the Lie groups. This involves making a description in the formof a matrix for each structure.
他们希望创建出李群的结构图，要做的就是以矩阵表达其中的每一个结构。
Lie groups are used to study space, structure, and change.
李群用于研究空间，结构和变化。
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。
The fundamental theory of Lie groups and Lie algebras on robotics is expatiated in brief.
对李群李代数方法在机器人中的应用做了基本的阐述，澄清了一些基本概念。
Lie Groups, Physics, and Geometry: an Introduction for Physicists, Engineers, and Chemists.
李群，物理和几何：为物理学家，工程师和化学家写的引论。
Techniques and concepts related to homology theory, K-theory, and Lie groups have been widely used.
与同调论、K -理论和李群有关的技巧和概念被广泛运用。
In this paper, we will investigate relations between complete Lie groups and complete Lie algebras.
本文给出完备李群与完备李代数的某些关系。
Algebraic Techniques; Lie Groups and Lie Algebras; Discrete Mathematics; Quantum Groups; Stochastic Methods.
代数技巧；李群和李代数；离散数学；量子群；随机方法。
The Lie groups and Lie algebras is successfully extended to study the mechanical system with spatial compliant links.
将李群李代数理论成功地拓展应用于空间柔性机构系统的分析，验证了该方法的有效性。
Lie groups and Lie algebras were used to study the dynamics and control of robot system with active and passive joints.
采用李群李代数符号描述了含主被动关节机器人的动力学分析和控制问题。
The representation theory of simple Lie groups has now been established as one of the most useful tools in modern physics.
单纯李群的表示论已经成为研究现代物理学最有用的数学工具之一。
A systematic introduction to the theory of configuration space of multi-features is given, appealing to Lie groups and algebras.
结合李群李代数方法，系统地研究了多特征的位形空间理论，给出了定向公差约束子流形的局部参数显式表达。
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。
In this paper, the orientability of foliations was investigated, and an application to the free action of Lie groups on manifolds was given as well.
本文引入并研究了叶层结构的定向性，作为应用，讨论了李群在流形上的自由作用，给出了存在李群自由作用的一个必要条件。
In this paper, the orientability of foliations was investigated, and an application to the free action of Lie groups on manifolds was given as well.
本文引入并研究了叶层结构的定向性，作为应用，讨论了李群在流形上的自由作用，给出了存在李群自由作用的一个必要条件。
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