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- Lie algebras of Cartan type Cartan型李代数
- 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。
- 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。
- Graded Cartan type Lie algebra 阶化Caftan型李代数
- In section 2, we firstly give the relationship between the involutionary automorphism of Lie algebra and standard imbedding Lie algebra of Lie triple system. 其中包括李三系的子系、理想、单李三系、可解、半单、标准嵌入李代数以及李三系的同态等。
- 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. 文章通过李子群的性质得出了李群的两个李子群的交依然是李子群的结论,进而得出这一李子群的李代数形式。
- In the paper,we discuss some properties of prolongation in which the voctor field X of the manifold M polongs to the Cotangent Bundle T *M,and the Prolongation of the Lie algebra of Lie groups. 文章讨论了流形M上的向量场X在其余切丛T*M上的拓展的几个性质,并讨论了李群上李代数的拓展。
- In this paper, the symmetries and Lie algebra of a coupled nonlinear wave equation were discussed. One-parameter transformation groups of this equation were obtained by using the symmetries. 摘要主要考虑非线性波方程组的一些简单对称及其构成的李代数，并利用所得对称给出该方程组的一些单参数变换群。
- 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；
- 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。
- Some Results for Lie Algebra of the Finitely Generated Operators 有限生成算子李代数的几个结果
- Lie algebra of an algebraic group 代数群的李代数
- Representations of the Lie Algebra of Skew Derivations on Quantum Torus 量子环面上斜导子李代数的表示
- Lie algebra of Block type Block型李代数
- Lie Groups, Lie Algebras, and Their Representation by V.S. 最重要的李群、李代数参考书;
- 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
- The maximal abel ideals of the Lie algebra of upper triangular matrices over the integral domains 整环上的上三角矩阵李代数的极大交换理想
- A geometric discription of the root system for the indefinite type Kac-Moody algebra of rank 2 is given. 在第1个注记中;给出了秩为2的不定型 Kac-Moody 代数的根系的一个几何刻划.
- Humphreys, Introduction to Lie Algebras and Representation Theory, SpringerVerlag, GTM. 标准的李代数入门教材。
- He devises a new type of transistor. 他发明了一种新的晶体管。
