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- In this paper, we construct a class of indecomposable solvable Lie algebras of dimension 5 with the simplest filiform nilradicals over complex field. 摘要构造了复数域上维数为5的以最简线状李代数为幂零根基的不可分解可解李代数。
- 2) If g is an irresolvable Cartan solvable Lie algebra, then of with the Borel subalgebra of the nine typical simple Lie algebra is isomorphism. ( ii)若 g是一个不可分解的 Cartan可解李代数 ;则 g与 9种典型单李代数之一的 Borel子代数同构 .
- Vertex Operator Algebra Associated with Nondegenerate Solvable Lie Algebras 有限维非退化可解李代数的顶点算子代数
- solvable Lie algebra 可解李代数
- The main work of this paper is to study the RDS-type Lie Algebra. 本论文的主要工作就是对RDS型李代数进行研究。
- solvable Lie algebras 可解李代数
- Firstly, we prove three equivalent conditions for a solvable n-Lie algebra. Subsequently, mimicking the Borel subalgebra theory of Lie algebras, we give the definition of a Borel n-subalgebra of an n-Lie algebra, and prove two propositions about it. 第三节,证明了可解n-李代数的三个等价条件,并仿照李代数理论中的Borel子代数的定义,给出了Borel n-子代数的定义及相关性质。
- All finite-dimensional path lie algebras are solvable and their Cartan subalgebras of them are obtained. 给出了有限维路李代数均可解的结论和所有的卡当子代数;
- In terms of solvability of a matrix Lie algebra,new simple delay-independent stability criteria are presented. 从矩阵李代数可解性角度,推导出新的简单的时滞独立稳定性判据。
- Let D_(l+1)(R) be the orthogonal Lie algebra over a commutative ring R with 2 invertible and m_1 an l+ 1 upper triangular matrix. 设D_(l+1)(R)表示2为单位交换环R上的2(l+1)阶正交李代数。 若记m_1是R上的l+1阶三角矩阵,而是D_(l+1)(R)可解子代数。
- It is proved that the Frattini subalgebra of a complete Lie algebra with abelian nilpotent radical is the zero subalgebra. 证明了特征零代数闭域上的具有交换幂零根基的完备Lie代数的Fratini子代数为零。
- Towers([1]) brought up a question :"If L is a Lie algebra all of whose nilpotent subalgebras are abelian , does L split over each of its ideals? 提出一个问题:“如果李代数L的所有幂零子代数都是交换子代数,那么L是否在它的每个理想上可分?
- Based on a non-solvable matrix Lie algebra L, the derivations and automorphisms of L were studied by the multiplication operation of block matrix. 摘要以一类非可解矩阵李代数L为研究对象,利用分块矩阵的乘法运算,对L的导子及自同构进行了研究。
- In this artical,we will expound only the application of group theory,particularly the Liegroup and Lie algebra,and topology to partical physics. 本文仅就纯粹数学中的群论,特别是李群和李代数以及拓扑学这两个分支在粒子物理学中的应用加以研究,以揭示数学在现代物理学中的重要作用。
- solvable Lie supertriple systems 可解李超三系
- This paper proves that any dipolarization in a real or complex semisimple Lie algebra is symmetric. Thus a complete answer to the open problem in reference[2] is gaven. 本文证明半单李代数上的任何双极化都是对称的,从而解决了金行壮二于1993年提出的一个待解的问题.;并给出了有关结果的一些应用
- In section 2, we firstly give the relationship between the involutionary automorphism of Lie algebra and standard imbedding Lie algebra of Lie triple system. 其中包括李三系的子系、理想、单李三系、可解、半单、标准嵌入李代数以及李三系的同态等。
- Lie Groups, Lie Algebras, and Their Representation by V.S. 最重要的李群、李代数参考书;
- Abstract: This paper proves that any dipolarization in a real or complex semisimple Lie algebra is symmetric. Thus a complete answer to the open problem in reference[2] is gaven. 文摘:本文证明半单李代数上的任何双极化都是对称的,从而解决了金行壮二于1993年提出的一个待解的问题.;并给出了有关结果的一些应用
- In this paper, the conclusion is that the intersection of lie subring of a Lie group is a Lie subring is obtained, moreover,it gives the Lie algebra of the Lie subring. 文章通过李子群的性质得出了李群的两个李子群的交依然是李子群的结论,进而得出这一李子群的李代数形式。