N-Derivations for Finitely Generated Graded Lie Algebras  

作　　者：Haifeng Lian Cui Chen 

机构地区：[1]Department of Mathematics, Fujian Agriculture and Forestry University Fuzhou 350002, China [2]Department of Mathematics and Physics, Fujian University of Technology Fuzhou 350108, China

出　　处：《Algebra Colloquium》2016年第2期205-212,共8页代数集刊（英文版）

基　　金：Supported by the Natural Science Foundation of Fujian Province, China （2010J05001, 2012J01001）, and the Foundation of Pre-research and Development of Fujian University of Technology （GY-Z10076）.

摘　　要：The N-derivation is a natural generalization of derivation and triple derivation. Let L 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 Lcoinciding with the Lie derivation algebra of L is given. As applications, any N-derivation of the SchrSdinger- Virasoro algebra, generalized Witt algebra, Kac-Moody algebra or their Borel subalgebra is a derivation.The N-derivation is a natural generalization of derivation and triple derivation. Let L 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 Lcoinciding with the Lie derivation algebra of L is given. As applications, any N-derivation of the SchrSdinger- Virasoro algebra, generalized Witt algebra, Kac-Moody algebra or their Borel subalgebra is a derivation.

关 键 词：DERIVATION Cartan subalgebra Virasoro algebra Kac-Moody algebra 

分 类 号：O152[理学—数学] O152.5[理学—基础数学]