基本解释：约化代数
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In this note,we gained a formula about structure constants reductive Lie algebra,which isC i=∑nj=1,j≠i(-1) jC j ji δ(j,i)=0,i=1,…n.使用分析的方法得约化李代数结构常数适应的一个公式，这就是Ｃｉ＝∑ｎｊ＝１ｊ≠ｉ（－１）ｊＣｊｊｉδ（ｊ，ｉ）＝０，ｉ＝１，…ｎ。
In this thesis, we will try to count the numers of rational points of nilpotent orbits of reductive Lie algebras under Probenius maps in finite fields.本篇论文主要解决约化李代数的幂零轨道在Frobenius映射下的有理点个数的问题，幂零轨道在模李代数表示等方面有很重要的作用，本身又是一个令人感兴趣的课题。
The reduced enveloping algebras of modular Lie superalgebras;李p-超代数的约化包络代数
Counting Number of Rational Points of Nilpotent Orbits of Reductive Lie Algebras in Finite Fields;约化李代数的幂零轨道在有限域上有理点的个数
The A-K Filtration in the Representations of Reductive Lie Algebras and Modular Representation of sp_6;约化李代数表示理论的A-K滤过与和式及sP_6的表示
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
Irreducible Modules of Modular Liesuper Algebra W(1, 1, 1);模李超代数W（1，1，1）的不可约模
The Irredncible Integrable Representation of Generalized Toroidal Lie Superalgebra广义Toroidal李超代数的不可约可积表示
Irreducible Representations of Cartan-type Lie AlgebrasCartan型李代数的不可约表示
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
Needham Question" and China s Modernization;“李约瑟难题”与中国的现代化进程
VOA Associated to Affine Lie Algebra (?)_2 and Its Irreducible Modules与李代数（？）_2相关的顶点算子代数N（k，0）及其不可约模
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
Quantization and Generalized Verma Representation of Block Type Lie Algebras;Block型李代数的量子化及广义Verma表示
Co-split Lie super algebra with non-degenerate Killing forms具有非退化Killing型的余分裂李超代数
Confucianism and Modern Science儒家文化与近代科学——“李约瑟之谜”再思考
Lie algebra structure on Virasoro algebraVirasoro代数的Hom-李代数结构
A KIND SUBALGEBRA STRUCTURE OF VERTEX OPERATOR ALGEBRA ASSOCIATED TO NONDEGENERATE SOLVABLE LIE ALGEBRAS非退化可解李代数的顶点算子代数的一类子代数结构
Quantizations of Cartan-type Lie Algebras and Restricted Two-Parameter Quantum Groups of Type B;Cartan型李代数的量子化和限制B型双参数量子群
Joseph Needham from England pointed out, “Among mathematicians in the Ming Dynasty, Cheng Dawei was the most notable.英国李约瑟说：“在明代数学家当中，最引人注目的是程大位。”
The Beginning of Modernization and the Origin of Capitalism in China;中国现代化的开端与资本主义起源问题──从“李约瑟文化难题”说起
