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- L_Z associated with finite-dimensional simpleLie algebras and affine Lie algebras of type k =1 over a commutative ring withidentity were defined by J. Hurley in 1969 and 1981 respectively, and theirideal structures were worked out there. Hurley在1969年与1981年分别对有限维复单李代数及k=1的仿射李代数L研究了相应的Chevalley代数L_R=RL_z的理想结构。
- Lie Groups, Lie Algebras, and Their Representation by V.S. 最重要的李群、李代数参考书;
- Garland constructs an integral form U_z in the universal enveloping algebra U(g(A))of affine Lie algebra g(A), and defines, for any field K, U_k=U_z(?) _zK to be the affine hyperalgebra of g(A). Garland对仿射李代数g(A)的普遍包络代数U(g(A))构造了一个Z-形式U_Z,从而对任何域K,定义了g(A)的仿射超代数U_k([2])。
- Also in 1976, Xu determined the Lie algebra aut(Z)(VN,F)) of the holomorphic automorphism group Aut (D(VN,F)) and the generating elements of the affine automorphism group Aff (D(VN, F)). 1976年;许以超还定出了全纯自同构群Aut(D(V_N;F))的李代数aut(D(V_N;F))和仿射自同构群Aff(D(V_N;F))的生成元.
- The main work of this paper is to study the RDS-type Lie Algebra. 本论文的主要工作就是对RDS型李代数进行研究。
- Humphreys, Introduction to Lie Algebras and Representation Theory, SpringerVerlag, GTM. 标准的李代数入门教材。
- All finite-dimensional path lie algebras are solvable and their Cartan subalgebras of them are obtained. 给出了有限维路李代数均可解的结论和所有的卡当子代数；
- Modern algebras, Homological algebras, Representation theory of algebras, Lie algebras, Hopf algebras. 教课领域：近世代数, 同调代数, 代数表示, 李代数，Hopf代数；
- Finally, the solvability of a kind of infinite-dimensional path Lie algebras is disscussed. 最后，对一类无限维路李代数可解的条件作了探讨。
- On Polynomial Representations of Lie Algebras, Zhuo Chen, Long-Guang He and De-shou Zhong , N.E. Math J. to appear. 半单李代数的单纯作用，陈酌与祁玉海，数学年刊，刊印中.
- In this paper, we study the subalgebra structure of the general linear Lie algebras over commutative rings. 摘要本文研究了含幺可换环上一般线性李代数的子代数结构。
- In this paper, we construct a class of indecomposable solvable Lie algebras of dimension 5 with the simplest filiform nilradicals over complex field. 摘要构造了复数域上维数为5的以最简线状李代数为幂零根基的不可分解可解李代数。
- The first half of the book deals with classification of the finite dimensional simple Lie algebras and of their finite dimensional irreducible representations. 书的上半部分涉及有限维简单的谎话代数和他们的有限维不能降低的表现的分类。
- In terms of solvability of a matrix Lie algebra，new simple delay-independent stability criteria are presented. 从矩阵李代数可解性角度，推导出新的简单的时滞独立稳定性判据。
- Let D_(l+1)(R) be the orthogonal Lie algebra over a commutative ring R with 2 invertible and m_1 an l+ 1 upper triangular matrix. 设D_(l+1)(R)表示2为单位交换环R上的2(l+1)阶正交李代数。 若记m_1是R上的l+1阶三角矩阵，而是D_(l+1)(R)可解子代数。
- It is proved that the Frattini subalgebra of a complete Lie algebra with abelian nilpotent radical is the zero subalgebra. 证明了特征零代数闭域上的具有交换幂零根基的完备Lie代数的Fratini子代数为零。
- Towers([1]) brought up a question :"If L is a Lie algebra all of whose nilpotent subalgebras are abelian , does L split over each of its ideals? 提出一个问题：“如果李代数L的所有幂零子代数都是交换子代数，那么L是否在它的每个理想上可分?
- Based on a non-solvable matrix Lie algebra L, the derivations and automorphisms of L were studied by the multiplication operation of block matrix. 摘要以一类非可解矩阵李代数L为研究对象，利用分块矩阵的乘法运算，对L的导子及自同构进行了研究。
- In this artical,we will expound only the application of group theory,particularly the Liegroup and Lie algebra,and topology to partical physics. 本文仅就纯粹数学中的群论,特别是李群和李代数以及拓扑学这两个分支在粒子物理学中的应用加以研究,以揭示数学在现代物理学中的重要作用。
- He tried to varnish over the truth with a lie. 他试图用谎言来掩盖真相。
