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In this paper, we extend the concept of quantum Lie algebra to two-parameter case.

本文把量子李代数的概念推广到了双参数的情形。

It is organized as follows:Chapter 1: we introduce the the development of Lie algebra and the background of this paper.

具体内容如下:第一章:介绍了李代数的发展情况和本文问题的背景。

There is few results on the structure of necklace Lie algebra up to now.

本文探讨项链李代数的结构及性质。

In this frame, we see that different Hamiltonians may possess the same Lie algebra structures.

在此框架下,可以自然地看到具有相同李代数结构的不同哈密顿量间的相似性。

In particular the semi-linear transformation of a single, the study of the Lie algebra structure, and the existence of classification play an important role.

特别是半单的线性变换,对研究李代数的结构、存在与分类,起到重要作用。

This spin-1〓 is connectedwith Lie algebra so(3)and does not satisfy the condition of translation invariance.

这是一个自旋为1的,属于李代数so(3)的R矩阵表示。

Theorem B: Both so *(2 n ) and g * are not simple Lie algebra.

定理B so *(2 n )和g *都不是单李代数

Theses on Lie Algebra Theory and on electrostatic technology have been included in SCI and EI retrieval systems.

李代数理论研究方面及静电技术研究论文已有10篇,被SCI、EI检索系统收录。

So, in the past decade the single-, two- and multi-mode bosonic realizations of the SU(1,1) Lie algebra have been receiving a lot of attention.

因此,在过去几十年内,人们大量讨论了单模,双模和多模SU(1,1)李代数的玻色子算符实现形式。

The SU(1,1) Lie algebra is of great interest in quantum optics because it can characterize many kinds of quantum optics systems.

广义SU(1,1)相干态 SU(1,1)李代数能表示许多量子光学系统,所以它在这个领域内引起了人们极大的兴趣。

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