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- 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。
- On Lie Algebra And Product Of Lie Group 關(guān)于李子群和李代數的討論
- Global Construction of a Lie Group with a given Lie Algebra 從給定的李代數整體地構造李群
- Explicit Construction of a Lie Group (locally) from its Lie Algebra 從李代數(局部地)構造李群
- Lie Groups, Lie Algebras, and Their Representation by V.S. 最重要的李群、李代數參考書(shū);
- 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。
- Lie Group and Lie Algebra 李群和李代數
- The Lie Algebra of a Lie Group 李群的李代數
- 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。
- On Complete Lie Algebras and Lie Groups 關(guān)于完備李群與完備李代數
- 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(xué)中的群論,特別是李群和李代數以及拓撲學(xué)這兩個(gè)分支在粒子物理學(xué)中的應用加以研究,以揭示數學(xué)在現代物理學(xué)中的重要作用。
- First, it is shown from a new viewpoint that the universal enveloping algebra generates a Lie subgroup of a known classical infinite dimensional Lie group, therefore the enlargability is ensured. 首先,本文從一個(gè)新的視角證明泛包絡(luò )代數作為無(wú)窮維李代數生成一個(gè)標準無(wú)窮維李群的子李群,從而保證了泛包絡(luò )代數的可擴張性;
- Lie groups, Lie algebras, and some of their applications 李群、李代數及應用
- In this paper,we first present two defining forms of Heisenberg Lie algebra. From these two forms,we determine the automorphism group Aut(H) of the(2n+1)-dimensional Heisenberg Lie algebra H.Moreover,some subgroups of Aut(H) are obtained. 首先給出了Heisenberg李代數的兩種定義形式,由這兩種定義形式,我們得到了(2n+1)維Heisenberg李代數的自同構群Aut(H);
- Also in 1976, Xu determined the Lie algebra aut(Z)(VN,F)) of the holomorphic automorphism group Aut (D(VN,F)) and the generating elements of the affine automorphism group Aff (D(VN, F)). 1976年;許以超還定出了全純自同構群Aut(D(V_N;F))的李代數aut(D(V_N;F))和仿射自同構群Aff(D(V_N;F))的生成元.
- In the paper, we consider 2-cocycles on an infinite-dimensional Lie algebra L. We obtain all of the 2-cocycles on this Lie algebra and further determine its second cohomology group. 摘要考慮了一類(lèi)無(wú)限維李代數L的二上圈。通過(guò)計算，得到了此類(lèi)李代數的所有的二上圈，從而確定了L的二上同調群。
- Lie groups and algebraic groups, by A. L. Onishchik, E. B. 李群的參考書(shū);
- 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(jiǎn)單的時(shí)滯獨立穩定性判據。
- Enveloping algebra of a Lie group 李群的包絡(luò )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(huán)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。
