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- 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
- On the Decomposition Into Direct Sum of Generalized Derivations of Lie Triple Systems 李三系广义导子的直和分解
- On Polynomial Representations of Lie Algebras, Zhuo Chen, Long-Guang He and De-shou Zhong , N.E. Math J. to appear. 半单李代数的单纯作用,陈酌与祁玉海,数学年刊,刊印中.
- First, the method for constructing linear stego-codes is proposed by using the direct sum of vector subspaces. 利用线性空间的直和分解得到了一种线性隐写码的构造方法。
- 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。
- 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。
- Amodule homomorphism can be decomposed kniquely a sum of homomorphisms between some submodules for a give module which is the direct sum of its submodules. 环上的(左或右)模在表成子模的直和时,其上的模同态可以分解为子模之间的模同态和。
- According to algebraic property that a direct sum of Galois fields is isomorphic to a finite ring,the linear block code for multiplexing systems is proposed. 依据有限域直和与有限环同构的代数性质,对多路复用系统构造线性分组码。
- 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。
- I had to spend a large sum of money to get it back. 我得花一大笔钱才把它弄回来。
- 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. 文章讨论了流形M上的向量场X在其余切丛T*M上的拓展的几个性质,并讨论了李群上李代数的拓展。
- The spectral decomposition is given. Secondly, the singular g-circulant matrices are similar to the direct sum of some diagnal matrices and some nilpotency of Jordan blocks when (n,g)=1. Further, the nilpotency index of Jordan block is defined. 其次 ,当 (n ,g) =1时 ,给出了n级奇异g 循环矩阵相似于某些对角阵和某些幂零Jordan块的直和 ,进一步给出了其中幂零Jordan块的幂零指数的计算法
- They paid me the princely sum of USD5000. 他们慷慨地给我5000美元。
- He deposits a sum of money in the bank each month. 他每月在银行存一笔钱。
- A sum of money paid as bail or surety. 保证金用作保释金或保证金的钱
- On Lie Algebra And Product Of Lie Group 关于李子群和李代数的讨论
- She paid the sum of $200 for dresses. 她买衣服总共花了二百元。
- The plan calls for a round sum of money. 这个计划需要一笔很可观的钱。
- 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。
- direct sum of unitary representation 酉表示的直和