李代数

In section 1 and section 2, I present a simple overview of the bosonic realization of the SU(1,1) Lie algebra, single-mode SU(1,1) coherent states and their main non-classical properties.

第一部分和第二部分，对SU(1，1)李代数的玻色子算符实现形式，单模SU(1，1)相干态及其主要的非经典特性进行了简单的回顾。

As one of the waysto study molecular reaction dynamics, dynamical Lie Algebraicmethod is introduced with establishment of matrix mechanics, and appliedto many research fields with the development of quantum mechanics ofelementary particles.

作为分子反应动力学的研究方法之一，动力学李代数方法随着矩阵力学的建立而引入，并随着基本粒子量子力学的发展被广泛应用到许多研究领域，取得了不错的效果。

Kasymov2J discussed the solvability and nilpotency of n-Lie alge...

Kasymov[2]研究了n-李代数的可解性和幂零性。

In the last Chapter, we discuss the property of quadratic Lie algebras.

在最后一章，我们讨论了二次李代数的性质。

At last,we present a criterion for an Lie algebra with Heisenberg nilpotentradicals to be CS in terms of representation theory of semisimple Lie algebras.

在第二节中，我们推广了[42]中的主要定理3.3并由此构造了许多新的非极大秩可解完备李代数。1

The necklace Lie algebra plays an inportant role in the; noncommunication geometry .

目前对项链李代数的结构还没有太多的研究。

The notions of algebras of quotients and weak algebras of quotients for Lie color algebras are given.

利用经典环论中由环构造商环的方法，人们得到了李代数的商代数的概念。

We give also a complete description on non-solvable symmetric self-dual Lie algebrasusing the language of double extension.

我们也用双扩张的语言给出了非可解对称自对偶李代数的一个完整刻划。

In the first chapter, we give a detailed introduction of recent developments in derived categories, Moritas equivalence theory, derived equivalence theory, recollements and mutations, automorphisms of Lie algebras, and so on.

第一章我们对与论文有关的研究方向，包括导出范畴，Morita等价理论，导出等价理论和李代数自同构等发展动态做尽可能详细的介绍。

In chapter six we introduce the framework of SO (5) and give a spinless excitation, the upper-lower operators of which can be related to the classification and characterization of the eigenstates.

第六章介绍了SO（5）理论大致理论框架，并给出了在SO（5）李代数中隐含的一个无自旋激发，它关联的升降算符可以用来对能级进行比较清楚的刻划。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。