N-Derivations for Finitely Generated Graded Lie Algebras

被引：2
|
作者：
Lian, Haifeng [1 ]
Chen, Cui [2 ]
机构：
[1] Fujian Agr & Forestry Univ, Dept Math, Fuzhou 350002, Peoples R China
[2] Fujian Univ Technol, Dept Math & Phys, Fuzhou 350108, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2016年 / 23卷 / 02期
关键词：
derivation; Cartan subalgebra; Virasoro algebra; Kac-Moody algebra; TRIPLE DERIVATIONS; PARABOLIC SUBALGEBRAS;
D O I：
10.1142/S1005386716000225
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The N-derivation is a natural generalization of derivation and triple derivation. Let G be a finitely generated Lie algebra graded by a finite-dimensional Cartan subalgebra. In this paper, a sufficient condition for the Lie N-derivation algebra of G coinciding with the Lie derivation algebra of G is given. As applications, any N-derivation of the SchrodingerVirasoro algebra, generalized Witt algebra, Kac-Moody algebra or their Borel subalgebra is a derivation.
引用
收藏
页码：205 / 212
页数：8
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