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- Exceptional compact simple Lie group 例外緊單李群
- Exceptional complex simple Lie group 例外復單李群
- Intersection Theory on Homogeneous Spaces of Simple Lie Group 單李群齊性空間中的相交理論
- ON THE IRREDUCIBLE REPRESENTATIONS OF THE COMPACT SIMPLE LIE GROUPS OF RANK 2(II) 秩2緊致單純李群的不可約表示(II)
- 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);
- The first half of the book deals with classification of the finite dimensional simple Lie algebras and of their finite dimensional irreducible representations. 書(shū)的上半部分涉及有限維簡(jiǎn)單的謊話(huà)代數和他們的有限維不能降低的表現的分類(lèi)。
- 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)。
- Lying can become a nasty habit.A tween can start out making a simple lie to fit in with a particular crowd. 誠實(shí)的好處 讓你的孩子知道每個(gè)說(shuō)謊的人都是從小的謊言開(kāi)始的,對于人類(lèi)來(lái)說(shuō)是很自然的一件事。
- 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。
- 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.
- 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。
- 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。
- Exceptional complex simple Lie algebra 例外復單李代數
- 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;
- classical compex simple Lie algebras 典型復單李代數
- 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