查询词典 Lie algebra

In section 2 ,if one Lie colour algebra can be decomposed to direct sum of two ideas ,the same as the center.And when the center is zero , the derivation and the inner derivation can be also decomposed .Lie colour algebra L is complete if and only if its two ideas are both complete .

第二部分首先讨论了若李color代数L可以分解为两个理想的直和，则中心也可以分解为两个理想的直和，而且当中心为零时导子和内导子也有同样的理想直和分解，并且L完备的充要条件是两个理想都完备。

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

在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。

And then the definition of simply complete Lie colour algebra and L self-homomorphism are given .A Lie colour algebra is simply complete if and only if it can not be decomposed .

然后给出了单完备李color代数的定义，并给出了一个李color代数是单完备的充要条件，即是不可分解的，同时引入了L的L自同态的定义。

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。

At last, for a kind of nonlinear optimal control problems in which the Lie algebra of the system is either 1 or 2 nilpotent, a necessary condition which the optimal control law must satisfied is given.

我们给出了非线性系统可反馈对称化的一个充要条件，并给出了反馈律的构造方法。

In this paper, according to the exponential mapping relation between Liegroup SO(3) and Lie algebra so(3), we have obtained a theorem about theexponential representation of orthogonal tensors.

本文根据李群SO(3)与李代数so(3)之间的指数映射关系，得到了正交张量的指数表示定理。

First,we give some basic concepts of restricted Lie color algebra,for example,p-subalgebra,p-idea and p-nilpotent Lie color algebra.

然后，我们得到限制李color代数的Frattini子代数和Frattini p-子代数的基本性质并证得可解限制李color代数的Frattini子代数和Frattini p-子代数是两个幂零理想。

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 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。