DERIVATIONS AND EXTENSIONS OF LIE COLOR ALGEBRA  

作　　者：张庆成 张永正 

机构地区：[1]School of Mathematics and Statistics,Northeast Normal University

出　　处：《Acta Mathematica Scientia》2008年第4期933-948,共16页数学物理学报（B辑英文版）

基　　金：National Natural Science Foundation of China(10271076)

摘　　要：In this article,the authors obtain some results concerning derivations of finitely generated Lie color algebras and discuss the relation between skew derivation space SkDer（L）and central extension H^2（L,F）on some Lie color algebras.Meanwhile,they generalize the notion of double extension to quadratic Lie color algebras,a sufficient condition for a quadratic Lie color algebra to be a double extension and further properties are given.In this article,the authors obtain some results concerning derivations of finitely generated Lie color algebras and discuss the relation between skew derivation space SkDer（L）and central extension H^2（L,F）on some Lie color algebras.Meanwhile,they generalize the notion of double extension to quadratic Lie color algebras,a sufficient condition for a quadratic Lie color algebra to be a double extension and further properties are given.

关 键 词：DERIVATION central extension double extension quadratic Lie color algebra 

分 类 号：O152.5[理学—数学]