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- The main work of this paper is to study the RDS-type Lie Algebra. 本論文的主要工作就是對RDS型李代數進行研究。
- 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. 本文證明半單李代數上的任何雙極化都是對稱的，從而解決了金行壯二於1993年提出的一個待解的問題.;並給出了有關結果的一些應用
- 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:本文證明半單李代數上的任何雙極化都是對稱的，從而解決了金行壯二於1993年提出的一個待解的問題.;並給出了有關結果的一些應用
- In terms of solvability of a matrix Lie algebra，new simple delay-independent stability criteria are presented. 從矩陣李代數可解性角度，推導出新的簡單的時滯獨立穩定性判據。
- classical compact real simple Lie algebra 典型緊實單李代數
- 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. 設D_(l+1)(R)表示2為單位交換環R上的2(l+1)階正交李代數。 若記m_1是R上的l+1階三角矩陣，而是D_(l+1)(R)可解子代數。
- It is proved that the Frattini subalgebra of a complete Lie algebra with abelian nilpotent radical is the zero subalgebra. 證明了特徵零代數閉域上的具有交換冪零根基的完備Lie代數的Fratini子代數為零。
- 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? 提出一個問題：「如果李代數L的所有冪零子代數都是交換子代數，那麼L是否在它的每個理想上可分?
- Based on a non-solvable matrix Lie algebra L, the derivations and automorphisms of L were studied by the multiplication operation of block matrix. 摘要以一類非可解矩陣李代數L為研究對象，利用分塊矩陣的乘法運算，對L的導子及自同構進行了研究。
- 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). 是旋轉群(李群SO(n;R) )的投影表象中的元素，或更廣義地說，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.
- In this artical,we will expound only the application of group theory,particularly the Liegroup and Lie algebra,and topology to partical physics. 本文僅就純粹數學中的群論,特別是李群和李代數以及拓撲學這兩個分支在粒子物理學中的應用加以研究,以揭示數學在現代物理學中的重要作用。
- 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、單李三系、可解、半單、標準嵌入李代數以及李三系的同態等。
- 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. 文章通過李子群的性質得出了李群的兩個李子群的交依然是李子群的結論,進而得出這一李子群的李代數形式。
- By using decomposition of exponential operators，the normal and antinormal ordering product of Boson exponential operators for SU(1，1) Lie algebra are given. 通過指數算符的分解，給出了SU(1，1)李代數玻色指數算符的正規和反正規乘積.
- Lie Groups, Lie Algebras, and Their Representation by V.S. 最重要的李群、李代數參考書;
- We take the coset space constructed by Lie algebra as the classical phase space for the molecular vibration to study its corresponding dynamical properties. 我們利用李代數的陪集方法,構造分子振動體系的經典相空間,探討分子高激發振動的動力學特性。
- 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. 利用係數矩陣和極大項，證明了這類李代數是半單李代數且沒有二維交換子代數。
- A simple test will show if this is real gold. 簡單的試驗就能證明這是否是真金。
- That's where the real danger lies. 這正是真正的危險所在。
- 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. 文中給出了一個Heisenberg代數與一個交換Lie代數的直和的導子代數，證明了給出的導子代數為一個單完備Lie代數
