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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
- On the Decomposition Into Direct Sum of Generalized Derivations of Lie Triple Systems 李三系廣義導子的直和分解
- On Polynomial Representations of Lie Algebras, Zhuo Chen, Long-Guang He and De-shou Zhong , N.E. Math J. to appear. 半單李代數的單純作用，陳酌與祁玉海，數學(xué)年刊，刊印中.
- First, the method for constructing linear stego-codes is proposed by using the direct sum of vector subspaces. 利用線(xiàn)性空間的直和分解得到了一種線(xiàn)性隱寫(xiě)碼的構造方法。
- 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、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。
- 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. 環(huán)上的（左或右）模在表成子模的直和時(shí)，其上的模同態(tài)可以分解為子模之間的模同態(tài)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. 依據有限域直和與有限環(huán)同構的代數性質(zhì)，對多路復用系統構造線(xiàn)性分組碼。
- 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)。
- I had to spend a large sum of money to get it back. 我得花一大筆錢(qián)才把它弄回來(lái)。
- 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。
- 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 ,當 (n ,g) =1時(shí) ,給出了n級奇異g 循環(huán)矩陣相似于某些對角陣和某些冪零Jordan塊的直和 ,進(jìn)一步給出了其中冪零Jordan塊的冪零指數的計算法
- They paid me the princely sum of USD5000. 他們慷慨地給我5000美元。
- He deposits a sum of money in the bank each month. 他每月在銀行存一筆錢(qián)。
- A sum of money paid as bail or surety. 保證金用作保釋金或保證金的錢(qián)
- On Lie Algebra And Product Of Lie Group 關(guān)于李子群和李代數的討論
- She paid the sum of $200 for dresses. 她買(mǎi)衣服總共花了二百元。
- The plan calls for a round sum of money. 這個(gè)計劃需要一筆很可觀(guān)的錢(qián)。
- 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。
- direct sum of unitary representation 酉表示的直和
