In Chapter 2,using some results of Chevalley groups,the theory of root systems and root space decomposition,the author characterizes some preserver maps on complex simple Lie algebras.
第二章研究了复单李代数上的一些线性的和非线性的保持问题。
In this paper, we first give the Maschke’s theorem of smash product A#H * about semisimple algebra, after studing smash product # (H,A) definited by Y.
Ｄｏｉ 所定义的Ｓｍａｓｈ 积＃ （ Ｈ， Ａ） ，给出了Ｓｍａｓｈ 积Ａ＃ Ｈ＊ 关于半单代数的Ｍａｓｃｈｋｅ 定理；给出了可分代数与余可分余代数之间的对偶关系。
The automorphism group of simple Lie algebra W(Z,Z);
单李代数W(Z,Z)的自同构群
The simple Lie algebra W(Z,Z) over complex field C is studied,by verifing a bilinear function f on L to be equivalent to a 2-cocycle h on L,the most important central extension of the simple Lie algebra W(Z,Z) over complex field C are given.
研究了复数域C上的单李代数W(Z,Z),验证了L上的一个2上圈h与L上的一个双线性函数f的等价性,给出了复数域C上的单李代数W(Z,Z)的一个最主要的中心扩张。
We proved that it is a simple Lie algebra.
在无限矩阵李代数 g1∞(C)中定义了一类广泛的李子代数 ,并在一定条件下刻划了这类子代数的内部结构 ,并证明其为单李代
The Classification of F-stable Three Dimensional Subalgebras of Simple Lie Algebras of Exceptional Type;
例外型单李代数的3维F-稳定单子代数的分类
The Complexification of n-Lie Algebras and the Classification of Real Simple n-Lie Algebras;
n-李代数的复化和实单n-李代数的分类
CN Lie algebras, CS Lie algebras and Symmetry self - dual Lie algebras;
CN李代数、CS李代数与对称自对偶李代数
Lie algebra structure on Virasoro algebra
Virasoro代数的Hom-李代数结构
The Frattini Theory of Restricted Lie Color Algebra;
限制李Color代数的Frattini理论
Cartan Type Modular Lie Superalgebra H(0,n)
Cartan型模李超代数H(0,n)
Pointed Lie Theorem and Killing Form of YD-Lie Algebra;
点YD-李代数的李定理和Killing型
P-solvable Restricted Lie Colour Algebras and the Basic Theory of Associative Lie Colour Algebras;
P-可解限制李colour代数与结合李colour代数基本理论
The Realization of 4-dimensional 3-Lie Algebras and the Solvability of n-Lie Algebras;
4维3-李代数的实现和n-李代数的可解性
Affine Lie Algebra (?)_8 and Its Vertex Operator Algebra;
仿射李代数（？）_8及其顶点算子代数
The Generalized Vertex Algebras from Affine Lie Algebra with Short Roots;
有短根的仿射李代数的广义顶点代数
Gradation Shifting Toroidal Lie Algebras and Representations for Baby-TKK Algebra
阶化平移Toroidal李代数与Baby-TKK代数的表示
Leibniz Algebras Defined by Tensor Product of Lie Algebras
李代数的张量积所确定的Leibniz代数
INTERMEDIATE LIE ALGEBRAS BETWEEN THE SYMPLECTIC ALGEBRAS AND THE GENERAL LINEAR LIE ALGEBRAS OVER COMMUTATIVE RINGS
可换环上辛代数与一般线性李代数之间的中间李代数(英文)
Construction of q-Lie Algebra by association Algebra and the Classification of Low Dimension q-Lie Algebra
由结合代数构造q-李代数及低维q-李代数的分类
Nonnegative Z-homogeneous derivation for even parts of Witt Lie superalgebras
Witt李超代数的偶部非负Z-次数的导子
A New Construction of a Vertex Algebra of 3-twisted Affine Lie Algebra sl(?) [θ];
3-twisted仿射李代数sl（？）[θ]的一种新的顶点代数构造
Automorphisms of the Maximal Nilpotent Subalgebra of Type D_n Lie Algebras;
D_n型李代数的极大幂零子代数的自同构