共查询到20条相似文献,搜索用时 750 毫秒
1.
本文研究了交换环R上所有n×n严格上三角矩阵构成的李代数N(n,R)(n≥5)上广义李三导子.利用矩阵技巧,证明了N(n,R)(n≥5)上任意广义李三导子为一李三导子与一位似映射的和.对于N(n,R)(n≥3)上广义李导子,得出类似结果. 相似文献
2.
三角代数上的广义Jordan导子 总被引:1,自引:0,他引:1
主要研究了三角代数上的广义Jordan导子.利用三角代数上广义Jordan导子和广义内导子的联系.证明了作用在一个含单位元的可交换环上的三角代数到其自身上的环线性广义Jordan导子是一个广义导子. 相似文献
3.
关于四元数代数同构的条件 总被引:1,自引:0,他引:1
陈福元 《数学的实践与认识》2000,30(2):222-225
引入广义四元数代数的 K上表示矩阵的概念 ,探讨复线性表示与 K上表示矩阵的关系 .在此基础上 ,给出两个广义四元数代数同构的一个新的判定条件 相似文献
4.
《数学的实践与认识》2019,(23)
对filiform李代数R_n的triple导子进行了研究.利用triple导子的定义,通过计算线性变换在一组特殊的基上的作用结果,得到了filiform李代数R_n的triple导子的矩阵形式,并发现其triple导子代数是一个维数为2n-1的可解李代数. 相似文献
5.
6.
构造了一类有限维广义Cartan型模李超代数W,并证明了它是李超代数W(n)的一个扩张,进而决定了它的导子超代数. 相似文献
7.
8.
9.
10.
借助于MV-代数的自同态引入并研究了MV-代数上的广义(→,⊕)-导子,得到了其等价刻画.此外,给出了MV-代数的广义中心主导子的概念,在此基础之上讨论了广义(→,⊕)-导子与MV-代数其它导子之间的关系,并利用强主中心广义导子的不动点集给出MV-代数成为Boole代数的等价刻画.所得结论推广了MV-代数上的导子,并借助导子深入刻画了MV-代数的结构理论. 相似文献
11.
We find a class of Lie algebras, which are defined from the symmetrizable generalized intersection matrices. However, such algebras are different from generalized intersection matrix algebras and intersection matrix algebras. Moreover, such Lie algebras generated by semi-positive definite matrices can be classified by the modified Dynkin diagrams. 相似文献
12.
本文通过构造一类模线状李代数,求出了它的导子代数,并且证明这个导子代数是可解但不完备的模李代数.这将有利于研究一般模线状李代数的结构. 相似文献
13.
WU MING-ZHONG 《东北数学》2009,25(1)
In this paper, we study the Lie algebras in which every subspace is its subalgebra (denoted by HB Lie algebras). We get that a nonabelian Lie algebra is an HB Lie algebra if and only if it is isomorphic to g+Cidg, where g is an abelian Lie algebra. Moreover we show that the derivation algebra and the holomorph of a nonabelian HB Lie algebra are complete. 相似文献
14.
Generalized Lie derivations on triangular algebras 总被引:1,自引:0,他引:1
Dominik Benkovi? 《Linear algebra and its applications》2011,434(6):1532-1544
Let A be a unital algebra and let M be a unitary A-bimodule. We consider generalized Lie derivations mapping from A to M. Our results are applied to triangular algebras, in particular to nest algebras and (block) upper triangular matrix algebras. We prove that under certain conditions each generalized Lie derivation of a triangular algebra A is the sum of a generalized derivation and a central map which vanishes on all commutators of A. 相似文献
15.
16.
Mingzhong Wu 《数学研究通讯:英文版》2009,25(1):1-8
In this paper, we study the Lie algebras in which every subspace is its
subalgebra (denoted by HB Lie algebras). We get that a nonabelian Lie algebra is
an HB Lie algebra if and only if it is isomorphic to $g\dot{+}\mathbb{C}id_g$, where $g$ is an abelian
Lie algebra. Moreover we show that the derivation algebra and the holomorph of a
nonabelian HB Lie algebra are complete. 相似文献
17.
18.
Binyong Hsie 《代数通讯》2013,41(10):3743-3750
In this article, the author gives two methods to construct complete Lie algebras. Both methods show that the derivation algebras of some Lie algebras are complete. 相似文献
19.
介绍了一类与扩张的Schr?dinger-Virasoro代数相关的无限维李代数,它的所有导子代数被完全刻画. 相似文献
20.
D. S. Shirokov 《Linear and Multilinear Algebra》2018,66(9):1870-1887
We give a full classification of Lie algebras of specific type in complexified Clifford algebras. These 16 Lie algebras are direct sums of subspaces of quaternion types. We obtain isomorphisms between these Lie algebras and classical matrix Lie algebras in the cases of arbitrary dimension and signature. We present 16 Lie groups: one Lie group for each Lie algebra associated with this Lie group. We study connection between these groups and spin groups. 相似文献