群代数

In this paper,based on the discussion on isomorphisms,the Verma modules of Svir are studied,and the irreducibility of these modules are obtained.

对域 F 的加法子群 M以及α∈F，且 2α∈M ，苏育才及赵开明定义了 2类广义Virasoro超代数，它们分别被记成SVir和SVir，后者是前者的平凡扩张。基于对同构的讨论，研究了SVir的Verma模，并且得到了这些模的不可约性

By using standard ideas from Lie groups and Lie algebra, the recursive formulation and the Lagrangian formulation were presented.

采用李群和李代数的方法来描述牛顿—欧拉方程和拉格朗日方程，得到机器人动力学在关节空间和操作空间内单个连杆的递推公式以及整个系统动力学方程的矩阵表达式。

In this paper, according to the exponential mapping relation between Liegroup SO(3) and Lie algebra so(3), we have obtained a theorem about theexponential representation of orthogonal tensors.

本文根据李群SO(3)与李代数so(3)之间的指数映射关系，得到了正交张量的指数表示定理。

Field; characteristic ; group inverse of matrix; linear map; symmetric matrix

基础科学，数学，代数、数论、组合理论域；特征；群逆；线性映射；对称矩阵

Therefore,the study of the the algebraic properties of automata with truth-values in lattice-ordered monoid and the study of the minimization algorithm form two crucial subjects in fuzzy automata theory.

因此，对取值于格半群的自动机代数性质的研究和极小化问题的研究是格值自动机理论的两个重要课题。

Nilpotency of a table algebra depends on that of their table subsets and quotient subsets, which is not fully corresponding to extension problems of nilpotent groups.

同时会发现该条件在表代数幂零性的判别方面并不完全对应于幂零群的中心扩张。

And resolves many difficult issues for complex multibody systems dynamic analysis, design and simulation in engineering areas. Therefore, it is worth to deeply investigate and perfect the spatial operator algebra.

本篇论文也是以空间算子代数理论为研究对象，对其理论作深入研究，并在Lie群、Lie代数、Riemannian流形理论体系中建立空间伴随算子形式的高效率建模和高效率递推运算动力学模型。

In the future network and information age,it can be expected that Error-Correcting Code will gain its widerap placation,and the research and develop work of it will have high practicalv alue and profound meaning.

本文在介绍近世代数群、环、域等概念的数学基础上，学习并总结了纠错码译码算法的发展和现状。

The major technique to get the information of structure of those free groups is to sudy the action of automorphisms on them. In this paper we show that every normal automorphism of a nontrivial free product of groups is inner as well. Traub[16] made a purely algebraic conjecture and showed that it implied Poincare"s Conjecture. He also showed that Poincare"s Conjecture implied this algebraic conjecture modulo another topological hypothesis.

在本文中我们给出任意两个非平凡群的自由积的每个正规自同构也是内自同构的；在文献[16]中，Traub给出了一个纯代数的猜想并证明了这个猜想蕴含着着庞加莱猜想的成立，并且作者也证明了在一个拓扑假设的前提下庞加莱猜想也同时蕴涵着猜想1是成立的，后来这个拓扑假设被Waldhausen([7])证明是成立的。

On the knowledge of vibration of polyatomic molecules, it has gonethrough the change of two stages: from normal mode model to local modemodel. In present, there mainly are two methods to deal with this problem:the traditional approach, namely ab initio, based on solving Schr〓dinger equa-tions of molecular vibration, and the algrbraic approach based on group theory.

在对多原子分子振动问题的认识方面，人们经历了从简正模模型到局域模模型转变的过程，而在处理方法上目前主要有两种：基于求解薛定谔方程的从头计算法和基于群论方法的代数方法。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。