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- classical compact real simple Lie algebra 典型紧实单李代数
- classical compact real simple Lie algebras 典型紧实单李代数
- 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。
- 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
- 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 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。
- This is equivalent to an ordinary (non-projective) representation of the double cover of SO(p,q, R ), which is a real Lie group called the spinor group Spin(p,q). 是旋转群(李群SO(n;R) )的投影表象中的元素，或更广义地说，是SO(p;q;R)群的投影表象中的元素，其中p + q = n for spinors in a space of nontrivial signature.
- 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。
- 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。
- Compact Real Forms and Complete Reducibility 紧实形式和完全可约性
- 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。
- By using decomposition of exponential operators，the normal and antinormal ordering product of Boson exponential operators for SU(1，1) Lie algebra are given. 通过指数算符的分解，给出了SU(1，1)李代数玻色指数算符的正规和反正规乘积.
- Lie Groups, Lie Algebras, and Their Representation by V.S. 最重要的李群、李代数参考书;
- We take the coset space constructed by Lie algebra as the classical phase space for the molecular vibration to study its corresponding dynamical properties. 我们利用李代数的陪集方法,构造分子振动体系的经典相空间,探讨分子高激发振动的动力学特性。
- Using the notion of coefficient matrix and maximal element.We prove that the Lie algebra is semi-simple and it has no abelian two dimensional subalgebra. 利用系数矩阵和极大项，证明了这类李代数是半单李代数且没有二维交换子代数。
- A simple test will show if this is real gold. 简单的试验就能证明这是否是真金。
