查询词典 algebraic Lie algebra

Based on the filtered Lie algebra of the universal enveloping algebra, the algebraic structure of projected subsystems are studied. It is proved that they have simple decompositions, and the construction of the representations is given as well as the corresponding criterion for project limit controllability.

基于泛包络代数的滤李代数结构，研究了投影子系统的代数结构，证明它们具有简单的分解形式，并给出了它们的表示的构造方法和投影极限能控性的判别定理。

In the recent years, due to there being intrinsic relationships between tilting theory and quantum group, Lie algebra and other algebraic branch, tilting theory has been one of the international hot topics.

现在，由于倾斜理论与量子群，李代数等其它代数学科的本质联系，倾斜理论成为国际研究热点之一。1998年，I。

Early in the 1950s, in algebraic topology, the concept of graded Hopf algebras was derived from an axiomatization of the works of H. Hopf relating to topological properties of Lie groups. Hence the name,'Hopf algebra'.

50年代初，H.Hopf在研究李群的拓扑性质这一代数拓扑领域的理论工作中引入了分次Hopf代数的概念，"Hopf代数"由此而得名。

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。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。