查询词典 Lie algebra

After descibing the concepts, definitionsand operation approaches of quantum group and SLq(2) Lie algebra, the physicalmeaning of quantum group particles is explained in the present thesis. The gaugeinvariance in SLq(2) gauge field and its thermodynamics model is considered basedon the idea of q-deformation. The zero energy gap equation and q-deformed energygap equation are derived under the assumption of q-quantization and semi-classical q-quantization, then the zero-temperature energy gap A(0,q) and crititical temperature〓 can be calculated from the q-energy gap equation.

在介绍了量子群和SLq(2)李代数的基本概念，定义和运算方法后，文中进一步阐述了量子群粒子的物理意义；在q变形思想基础上，本文研究了SLq(2)规范场及其热力学模型中的规范不变性质，并在q量子化和半经典q量子化的假设下导出了零能隙方程和q变形能隙方程；然后从q能隙方程计算了与零温度能隙△(0，q)和临界温度〓。

We also discuss a natural involution of necklace Lie algebra .

我们还讨论了由重箭图自然自同构导出的李代数的一个自然的对合。

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。

We study the structure and properties of a necklace Lie algebra.

在1.1节中，我们定义了箭图Q的重箭图？

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。

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。