共查询到18条相似文献,搜索用时 47 毫秒
1.
2.
3.
李三系是从黎曼对称空间产生的三元运算的代数系统,近年来备受数学家们的重视.针对李三系的Frattini子系和基本李三系的问题进行了研究,给出了Frattini子系和基本李三系的一些性质,并证明了李三系的非嵌入定理,同时得到了幂零李三系是基本李三系的一个充要条件. 相似文献
4.
主要把群的Frattini理论发展到限制李三系,得到限制李三系的Frattini-子系、Frattini p-子系的性质,给出Frattini p-子系为零时限制李三系的分解. 相似文献
5.
6.
李三系是从黎曼对称空间产生的三元运算的代数系统,近年来备受数学家们的重视.对李三系的中心扩张问题进行了研究,提出了Heisenberg李三系的概念,并对任意线性空间给出了构造Heisenberg李三系的一种方法. 相似文献
7.
本文讨论李三系的可解根基和Hopkins幂零的某些性质及导子作用下的不变性,讨论了李三系次理想的某些性质,证明了李三系为幂零的当且仅当每个子系都是次理想. 相似文献
8.
9.
10.
本文研究了任意分裂的$\delta$-Jordan李三系的结构,其为分裂的李三系的结构的推广. 利用这种三系的根连通, 得到了带有对称根系的分裂的 $\delta$-Jordan 李三系可以表示成 $T=U+\sum_{[\alpha]\in \Lambda^{1}/\sim} I_{[\alpha]}$,其中$U$是0根空间$T_{0}$的子空间,任意$I_{[\alpha]}$为$T$的理想, 并且满足 当$[\alpha]\neq [\beta]$时, $\{I_{[\alpha]},T,I_{[\beta]}\}=\{I_{[\alpha]},I_{[\beta]},T\}=\{T,I_{[\alpha]},I_{[\beta]}\}=0$. 相似文献
11.
People studied the properties and structures of restricted Lie algebras all whose elements are semisimple. It is the main
objective of this paper to continue the investigation in order to obtain deeper structure theorems. We obtain some sufficient
conditions for the commutativity of restricted Lie algebras, generalize some results of R. Farnsteiner and characterize some
properties of a finite-dimensional semisimple restricted Lie algebra all whose elements are semisimple. Moreover, we show
that a centralsimple restricted Lie algebra all whose elements are semisimple over a field of characteristic p > 7 is a form of a classical Lie algebra. 相似文献
12.
In the present paper, we give some sufficient conditions for the commu tativity of restricted Lie superalgebras and characterize some properties of restricted Lie superalgebras with semisimple elements. 相似文献
13.
As a natural generalization of a restricted Lie algebra, a restricted Lie triple system was defined by Hodge. In this paper, we develop initially the Frattini theory for restricted Lie triple systems, generalize some results of Frattini p-subalgebra for restricted Lie algebras, obtain some properties of the Frattini p-subsystem and give the relationship between Фp(T) and Ф(T) for solvable Lie triple systems. 相似文献
14.
We introduce elementary and Φ-free Lie triple systems and study the properties of these systems. In particular, structures of subsystems of an elementary Lie triple system and a class of Φ-free Lie triple systems are investigated. 相似文献
15.
Terrell L. Hodge Brian J. Parshall 《Transactions of the American Mathematical Society》2002,354(11):4359-4391
In this paper, we take a new look at the representation theory of Lie triple systems. We consider both ordinary Lie triple systems and restricted Lie triple systems in the sense of [14]. In a final section, we begin a study of the cohomology of Lie triple systems.
16.
In this article, we introduce the notion of system of quotients of Lie triple systems and investigate some properties which can be lifted from a Lie triple system to its systems of quotients. We relate the notion of Lie triple system of Martindale-like quotients with respect to a filter of ideals and the notion of system of quotients, and prove that the system of quotients of a Lie triple system is equivalent to the algebra of quotients of a Lie algebra in some sense, and these allow us to construct the maximal system of quotients for nondegenerate Lie triple systems. 相似文献
17.
§1. IntroductionIn the theory of associative ring there are a number of known su?cient conditions forthe commutativity of an associative ring R, some in the form of a polynomial identity.For instance, it is a well-known result that if every element x of … 相似文献
18.
本文通过讨论Laurent多项式代数及其导子代数的对合自同构确定了一类具体的无限维单李三系, 并且提供了一种利用Novikov代数上自然的李代数结构来构造李三系的方法. 相似文献