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- Decomposition of a Semisimple Lie Group 半單李群的分解
- The text however develops basic Riemannian Geometry, Complex Manifolds, as well as a detailed theory of Semisimple Lie Groups and Symmetric Spaces. 然而課程還將簡(jiǎn)單介紹了基本的黎曼幾何和復流形的知識,并會(huì )詳細討論半單李群和對稱(chēng)空間的理論。
- In particular, we prove that there are only finitely many equivalence classes for twisted conjugate actions for semisimple Lie groups. 特別地,我們證明了連通半單李群的扭共軛作用只有有限多個(gè)等價(jià)類(lèi)。
- real semisimple Lie algebra 實(shí)半單Lie代數
- Semisimple Lie group 半單李群
- 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(chēng)的,從而解決了金行壯二于1993年提出的一個(gè)待解的問(wèn)題.;并給出了有關(guān)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(chēng)的,從而解決了金行壯二于1993年提出的一個(gè)待解的問(wèn)題.;并給出了有關(guān)結果的一些應用
- 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(shuō),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 particular,a modem approach to the description of automorphisms and gradings of semisimple Lie algebras is given.A special chapter is devoted to models of the exceptional Lie algebras. 該叢書(shū)是科學(xué)出版社組織學(xué)術(shù)界多位知名院士、專(zhuān)家精心篩選出來(lái)的一批基礎理論類(lèi)數學(xué)著(zhù)作,讀者對象面向數學(xué)系高年級本科生、研究生及從事數學(xué)專(zhuān)業(yè)理論研究的科研工作者。
- In this paper,Lie group,Symplectic manifolds,Groupoids are treated as fundamental research subjects . 本文主要以李群、辛流形及群胚等為基本研究對象。
- Lie Groups, Lie Algebras, and Their Representation by V.S. 最重要的李群、李代數參考書(shū);
- Lie groups and algebraic groups, by A. L. Onishchik, E. B. 李群的參考書(shū);
- Using the Lie group theory and method, we presented a necessary condition for the existence of generalized symmetry of ordinary differential equations. 摘要利用李群理論和方法給出了自治常微分方程存在某類(lèi)特殊廣義對稱(chēng)的必要條件。
- Furthermore,this course is benefitial to study differential topology, Riemannian Geometry, Lie group and Nonlinear Analysis etc. 為進(jìn)一步學(xué)習微分幾何、微分拓撲、幾何分析、黎曼幾何、李群、低維拓撲和非線(xiàn)性分析等相關(guān)課程奠定良好的基礎,并為閱讀當代數學(xué)文獻創(chuàng )造條件。
- Any symmetric space corresponds to a Lie group and an involution of it.The associated twisted conjugate action is related to the involution. 每個(gè)對稱(chēng)空間對應著(zhù)一個(gè)李群及這個(gè)李群的一個(gè)對合自同構,相應的扭共軛作用與這個(gè)對合自同構有關(guān)。
- 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。
- A simple test will show if this is real gold. 簡(jiǎn)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,by giving a left invariant and symplectic structure, we have discussed the left invariant vector field and Maurer-Cartan form on Lie group,and have drawn some conclusions on them. 文章通過(guò)對李群上賦予一個(gè)左不變的辛結構,對李群上的左不變向量場(chǎng)及左不變1一形式進(jìn)行研究,得出相關(guān)結論。
- That new shopping centre is a real eyesore. 那個(gè)新的購物中心真是難看極了。