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1·In this paper, we study the symplectic groupoids structure on the cotangent bundle of Lie group.

本文研究了李群的余切丛上的辛群胚结构。

2·This article proposes a new type of three-dimensional (3d) guidance laws using a Lie group method.

使用李群方法设计了一种新型三维制导律。

3·In this paper, Lie group, Symplectic manifolds, Groupoids are treated as fundamental research subjects.

本文主要以李群、辛流形及群胚等为基本研究对象。

4·In this paper, Lie group, Symplectic manifolds, Groupoids are treated as fundamental research subjects.

讨论了李群胚在流形上的作用及其无穷小作用。

5·For the complexity of data and the deep relationship of semantic, a Lie Group deep structure learning algorithm is proposed.

针对数据的复杂性和语义深层关系，提出一种李群深层结构学习算法。

6·The general time-dependent SchrOdinger equation with external perturbance needs to be resolved through Lie group decompositions.

而一般具有外加微扰作用力的含时薛定谔方程的求解需要通过李群分解。

7·Based on configuration evolution and Lie group theory a systematic approach for type synthesis of 2t2r 4-dof parallel mechanism was proposed.

基于构型演变和李群理论提出一类2t2r型四自由度并联机构型综合的系统方法。

8·Lie group Machine learning (LML) inherit the advantages of manifold learning method and make full use of the Lie group's structure of algebraic and geometry in mathematics.

李群机器学习(LML)既继承了流形学习的优点，又充分利用了李群的代数结构和几何结构的数学本质，自提出以来就引起了许多研究者的关注。

9·In this paper, in accordance with the knowledge of Groupoid, we proved that the nature life of Lie Group on a Fundamental Groupoid has a coadjoint equivariant momentum mapping.

本文利用群胚的有关知识证明了李群在基本群胚上的提升作用有余伴随等变的动量映射这一结论，进而刻划了辛群胚的几何性质。

10·This paper gives the definition of metahomomorphism of Lie group and it studies a few qualities of the metahomomorphism of Lie group, and a few significant results are obtained.

文章给出了李群上的亚同态的定义，并对李群上的亚同态的有关性质进行了研究，得出了一些有意义的结果。