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- 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. 第三節，證明了可解n-李代數的三個(gè)等價(jià)條件，并仿照李代數理論中的Borel子代數的定義，給出了Borel n-子代數的定義及相關(guān)性質(zhì)。
- 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(tài)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(guò)李子群的性質(zhì)得出了李群的兩個(gè)李子群的交依然是李子群的結論,進(jìn)而得出這一李子群的李代數形式。
- 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(gè)Heisenberg代數與一個(gè)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(gè)單完備Lie代數
- In the paper,we discuss some properties of prolongation in which the voctor field X of the manifold M polongs to the Cotangent Bundle T *M,and the Prolongation of the Lie algebra of Lie groups. 文章討論了流形M上的向量場(chǎng)X在其余切叢T*M上的拓展的幾個(gè)性質(zhì),并討論了李群上李代數的拓展。
- Chevalley, Claude. Theory of Lie groups, I. Princeton, Princeton University Press, 1946. 《李群理論（一）》.;普林斯頓:普林斯頓大學(xué)出版社;1946年
- Modern algebras, Homological algebras, Representation theory of algebras, Lie algebras, Hopf algebras. 教課領(lǐng)域：近世代數, 同調代數, 代數表示, 李代數，Hopf代數；
- In this paper,the theory of constructing PES of polyatomic molecules by dynamic Lie algebraic method is presented,and its application in different molecular systems is introduced. 本文主要介紹了用動(dòng)力學(xué)李代數方法構造多原子分子勢能面的理論方法,及其在不同分子體系中的應用。
- On Lie Algebra And Product Of Lie Group 關(guān)于李子群和李代數的討論
- Einstein put forward his new theory of relativity. 愛(ài)因斯坦提出了相對論的新學(xué)說(shuō)。
- 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(jìn)行研究。
- Einstein's theory of relativity. 愛(ài)因斯坦的相對論。
- On Polynomial Representations of Lie Algebras, Zhuo Chen, Long-Guang He and De-shou Zhong , N.E. Math J. to appear. 半單李代數的單純作用，陳酌與祁玉海，數學(xué)年刊，刊印中.
- Do you agree to the wave theory of light? 你同意光的波動(dòng)理論嗎？
- The underlying concepts are based on differential geometry and theory of Lie groups in the mathematical aspect, and on transformation symmetries and gauge theory in the physical aspect. 基礎的概念在數學(xué)方面基于不同謊話(huà)組的幾何學(xué)和理論， 并且關(guān)于在物理方面的轉變對稱(chēng)性和計量器理論。
- He cavalierly dismisses the theory of both Freud and Jung. 他傲慢武斷地斥貶佛洛依德和楊格二人的理論。
- The Structure of Lie Algebra for a Sort of Evolution Equation 一類(lèi)進(jìn)化方程李代數的構造
- Darwin put forth the theory of evolution,. 達爾文提出了進(jìn)化論。
- An extension of Lie algebra and a related integrable system 推廣的一類(lèi)Lie代數及其相關(guān)的一族可積系統
- The report was full of lies and prevarications. 這篇報道不是顛倒黑白就是含糊其辭。
