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- Exceptional complex simple Lie algebra 例外复单李代数
- finite-dimensional simple Lie algebra 有限维单代数
- classical compact real simple Lie algebra 典型紧实单李代数
- The first half of the book deals with classification of the finite dimensional simple Lie algebras and of their finite dimensional irreducible representations. 书的上半部分涉及有限维简单的谎话代数和他们的有限维不能降低的表现的分类。
- 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 .
- classical compex simple Lie algebras 典型复单李代数
- classical compact real simple Lie algebras 典型紧实单李代数
- non-compact real simple Lie algebras 非紧实单李代数
- simple lie algebra 单李代数
- 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。
- 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。
- In this paper,the devivation algebra Dery of Lie algebra is given,y which is thd direct sum of a Heisenbery algebra H and an abelian &. It is proved that Dery id a simple complete Lie algebra. 文中给出了一个Heisenberg代数与一个交换Lie代数的直和的导子代数,证明了给出的导子代数为一个单完备Lie代数
- 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。
- Lie Groups, Lie Algebras, and Their Representation by V.S. 最重要的李群、李代数参考书;
- 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。