代数李代数

Let g be a finite dimensional complex semisimple Lie algebra with the Cartan subalgebra h.

令g为一个有限维的复半单李代数，而h是g的Cartan子李代数。

Many of important concepts in the theory of abstract Lie algebras come from classical theory of groups, for example, complete Lie algebras is a generalization of complete groups.

李代数的抽象理论中很多重要的概念都来源于经典群论，完备李代数便是一个例子。

In this paper,some properties of automorphisms of classical Lie algebras was given first and then a classification of conjugacy automorphisms using only the matrix theory was presented.

首先给出了典型李代数自同构的一些性质，接着用矩阵的形式具体给出典型李代数自同构共轭的充要条件，并计算了任意阶自同构的不动点集。

It is easy to see that the bialgebra H we find,canbe regarded as the enveloping algebra of a Lie algebra,whose generators are thoseof the Lie algebra of type A and n-1 other elements which commute with genera-tors above.

可以看出，我们找到的H作为代数，恰为在An-1型李代数上增加与之可换的n-1个生成元后得到的包络代数，其自然表示的矩阵元恰好生成代数AR。

Next, we give the definition of Killing form hold for pointed YD-Lie algebra, let L be a pointed YD-Lie algebra, for every homogeneous elements x, y ∈ L, if = tr_q.then we call Killing form of L.

接着，给出了点YD-李代数的Killing型的定义：L为任意的点YD-李代数，如果齐次元x，y∈L定义：=tr_q。

In section 1 ,some basic concepts of Lie colour algebra will be recalled .

在完备李代数的基础上，我们研究了完备李color代数的一些性质和结构。

The Lie algebra 〓 in[14]is replaced by the twisted algebra〓.

在[14]中用到的李代数〓将由扭李代数〓来代替。

Chapter 3: Take a further look at the development of the complete Lie algebra which conclude the simple Lie algebra.

第三章：展望一下包括单李代数的完备李代数的发展趋势。

A Lie group,called N-group,and its Lie algebra,calledN-algebra,are introduced for the structure analysis of the systems.

同时为便于进行系统的结构分析，引入一种称为N-群的李群及其李代数，N-代数。

As two important tools, the weight space decomposition of modules of a nilpotent Lie algebra (Section 1) and irreducible finite dimensional representations of solvable Lie superalgebras (Section 2.3) are presented in detail.

讨论过程中，作为两个重要的工具，对幂零李代数其模的权空间分解(第1节)，以及可解李超代数的有限维不可约表示(第2.3节)也作了详细的介绍。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。