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- 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。
- In this paper,the devivation algebra Dery of Lie algebra is given,y which is thd direct sum of a Heisenbery algebra H and an abelian &. It is proved that Dery id a simple complete Lie algebra. 文中给出了一个Heisenberg代数与一个交换Lie代数的直和的导子代数,证明了给出的导子代数为一个单完备Lie代数
- On Complete Lie Algebras and Lie Groups 关于完备李群与完备李代数
- GENERALIZED KAC-MOODY ALGEBRAS AND INFINITE DIMENSIONAL COMPLETE LIE ALGEBRAS 广义Kac-Moody代数与无限维完备Lie代数
- complete Lie algebras 完备李代数
- complete Lie algebra 完备李代数
- he authors discuss the structure of derivation algebra DerH of a finite dimensional Heisenberg algebra H,and prove that DerH is a simple complete Lie algebra with abelian nilpotent radical. 给出了复数域上有限维Heisenberg代数H的导子李代数DerH,并证明了DerH为一个具有交换幂零根基的单完备李代数。
- Lie Groups, Lie Algebras, and Their Representation by V.S. 最重要的李群、李代数参考书;
- 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。
- This paper proves that any dipolarization in a real or complex semisimple Lie algebra is symmetric. Thus a complete answer to the open problem in reference[2] is gaven. 本文证明半单李代数上的任何双极化都是对称的,从而解决了金行壮二于1993年提出的一个待解的问题.;并给出了有关结果的一些应用
- Abstract: This paper proves that any dipolarization in a real or complex semisimple Lie algebra is symmetric. Thus a complete answer to the open problem in reference[2] is gaven. 文摘:本文证明半单李代数上的任何双极化都是对称的,从而解决了金行壮二于1993年提出的一个待解的问题.;并给出了有关结果的一些应用
- 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。