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。

If 〓 is a restricted Lie algebra and 〓-module 〓 isrestricted,then L is a restricted Lie superlagebra.

如果〓是限制李代数，并且〓模〓是限制的，则L是限制李超代数。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。