查询词典 restricted lie algebra

We then obtain some elementary results of the Frattini subalgebra and the Frattini p-subalgebra of a restricted Lie color algebra, sh...

给出了p-基本限制李color代数和E-p-限制李color代数的概念，并得到了一系列的结论。

Without using Lie derivative and Lie bracket operation of differential geometry , we only use the algebra method to give a sufficient condition of single input exact feedback linearizable bilinear systems.

摘 要 研究了单输入的双线性系统的精确线性化及其鲁棒控制器设计问题，避免了用微分几何的李导数、李括号的复杂运算，只用纯代数的方法给出了一般单输入双线性系统精确线性化的充分条件。

In section 1.1. we define the mapping a on circle in double quiver Q of a quiver Q, and give a strict defition of bracket operation in Lie algebra,then prove it is a Lie bracket.

循环上的映射σ，用它给出了项链李代数括号运算的一个严格定义，并用此定义证明了这是一个李运算。

Furthermore, we define a convolution multiplication between characteristic functions of constructible subsets by using push-forward functor from the category of algebraic varieties over C to the category of spaces of constructible functions. We construct geometric model for "intrinsic symmetry" of the octahedral axiom in a triangulated category. Using it, we deduce the multiplication satisfies the Jacobi identity of Lie algebra and then realize infinite dimensional Lie algebras.

进一步，我们使用复代数簇范畴到可构函数空间范畴的pushforward函子，给出了可构集上特征函数的卷积乘法，并构造了三角范畴八面体公理的内蕴对称性的几何模型，最终证明了对于不可分解支撑有界可构集的特征函数，乘法满足李代数定义的Jacobi恒等式，从而给出了无限维李代数的实现。

We point out the correspondences between Lie group, Lie algebra and some keyformulae of Huston-Kane method.

首次指出偏速度与偏角速度构成运动相空间的Lagrange子流形，揭示了偏速度与偏角速度的本质及Huston-Kane方法对动力学问题的变换思路。

Some applications to special cases,which include the Kantorovich\'s condition and theγ-condition as well as the Smale\'sα-theoryfor maps from a Lie group to its corresponding Lie algebra, are provided.

同时把所得的结果应用于：Kantorovich情形，γ-条件及关于映射f的广义Smaleα理论。

In recent years, the theory of infinite dimensional simple Lie algebra has become an important branch in Lie theory.

近年来无限维单李代数的结构理论以及表示理论已经成为李代数研究中的重要分支，无限维单李代数的构造，自同构群的确定，同构分类，二上同调群的计。。。

By using standard ideas from Lie groups and Lie algebra, the recursive formulation and the Lagrangian formulation were presented.

采用李群和李代数的方法来描述牛顿—欧拉方程和拉格朗日方程，得到机器人动力学在关节空间和操作空间内单个连杆的递推公式以及整个系统动力学方程的矩阵表达式。

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。

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

We got alerted a couple of times while we were down south that HETs were on the way to bring us back up north because things were going to go hot again, but it was just rumors.

南下的途中我们不只一次得到警告说重型装备运输车将拉着我们重新北上，因为局势正在变得重新紧张起来，但这只是谣传。

It's the one where they find the ghost in the salt mine.

这一集是演他们在盐矿找到鬼