lie algebra

Central Extensions of the Lie Algebra G 2 over a Field Characteristic 2

特征2李代数G2的中心扩张

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We completely determined the structure of Derg of the 3-solvable non-degenerate Lie Algebra, g.

进而给出了三次可解型非退化李代数的一个等价条件，并且详细地刻画了它的导子李代数的结构。

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In this paper, we extend the concept of quantum Lie algebra to two-parameter case.

本文把量子李代数的概念推广到了双参数的情形.

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Induced by the symplectic structure, we have obtained the Poisson bracket and the Lie algebra for the conservative quantities with respect to the Poisson bracket.

我们由其上的辛结构定义了其上的Poisson括号，并求出了在这个括号意义下，守恒量所构成的李代数。

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Integrable Modules of Affine Kac& Moody Lie Algebra

仿型Kac&Moody李代数的可积模

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SU ( 1, 1) Lie Algebra of Nonlinear Nonharmonic Oscillator

非线性非谐振子的SU（1，1）Lie代数

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This paper characterizes the minimal ideals of finite dimensional quadratic Lie algebras over the complex field and gives an optimistic lower bound for the dimension of the space of invariant symmetric bilinear forms on a quadratic Lie algebra by means of the number of linearly independent minimal ideals.

刻划了复数域上有限维二次李代数的极小理想，并用线性无关极小理论的个数给出了这类李代数上对称不变双线性型所成空间维数的一个最好下界刻划。

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The seidel third-order aberration coefficients of a thick lens imaging system are derived analytically with the aid of Lie algebra and optical symplectic map.

借助于李代数和辛映射推导出厚透镜成象系统的Seidel三级象差系数的解析公式。

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Dynamical Lie Algebra Method for Highly Excited Vibrational State of Quasi-linear Tetraatomic Molecules

准线型四原子分子高激发振动能级的动力学李代数方法

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We also discuss a natural involution of necklace Lie algebra.

我们还讨论了由重箭图自然自同构导出的李代数的一个自然的对合。

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Y-type Lie algebras of the infinite dimensional matrix Lie algebra on complex field

复数域上无限维矩阵李代数的y-型李代数

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Let n be the nilpotent Lie algebra consisting of all strictly upper triangular ( n+ 1)×( n+ 1) matrices over an integral domain R of characteristic 2.The aim of this paper is to give an explicit description of the automorphism group of the Lie algebra n.

设n是特征为2的整环上由所有严格上三角（n+1）×（n+1）矩阵构成的李代数。本文的目的是确定李代数n的自同构群。

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The Killing Model and Ideal of ( p, q) form Lorentz Lie Algebra Over Rings

环上（p，q）型Lorentz李代数的Killing型与理想

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The electromagnetism in vacuo and Lie algebra of the Lorentz group

真空中的电磁场与洛仑兹群的李代数

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A New Kind of Indefinite Type Kac-Moody Lie Algebra

一类不定型Kac-Moody李代数

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The authors, discuss the product Lie group's Lie algebra.

本文还讨论了乘积李群的李代数形式.

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We first discuss the classification of complex simple Lie triple systems using the classification of finite order automorphisms for each complex simple Lie algebra given by Kac.

第三部分，在Lister关于李三系的分类定理的基础上，利用Kac对复单李代数的有限阶自同构的分类对复数域上的单李三系进行分类。

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A left-symmetric algebra decides uniquely its sub-adjacent Lie algebra up to isomorphism ( [ 7], Proposition 12). A natural question is: Is every Lie algebra the sub-adjacent Lie algebra of some left-symmetric algebra?

一个左对称代数在同构意义下唯一确定其邻接Lie代数（〔7〕命题12）.一个自然的问题为：是否每个Lie代数都是左对称代数的邻接Lie代数呢？

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In this thesis we will complete the necklace lie algebra from a special quiver.

本文从一类特殊的箭图出发构造项链李代数.

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In this paper, the author generalizes the level two representation [ 11] of the Kac-Moody algebra A1 ( 1) to the Toroidal case, and gives a class of irreducible modules for the A1 Toroidal Lie algebra.

本文将Kac-Moody代数A1（1）的二阶表示理论[11]推广到Toroidal李代数的情形.并给出了A1型Toroidal李代数的一类不可约表示。

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The third chapter main research is two new high-dimensional Lie algebra and its application.

第三章主要研究的是两个新的高维的Lie代数及其应用.

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