摘要
Witt代数是一类非常重要的无限维李代数,它在李代数的各个分支都有着广泛的应用,和Witt代数相关的无限维李代数的结构、表示等问题是目前李代数研究的一个主要方向。研究一类非有限分次的广义Witt型代数的导子,并得到了其导子代数Der W的具体形式:Der W=ad WHomZ(Γ,C)。
Witt algebra is an important infinite dimensional Lie algebra,and it has been more widely used in every branch of Lie algebra. So far the structures and representations of some infinite dimensional Lie algebras related to Witt algebra are a significant direction of Lie algebra. The derivation algebra of a class of not-finitely graded Lie algebras related to generalized Witt type algebras is studied,and the concrete form of its derivation algebra,Der W,is given by Der W = ad WHomz（ Γ,C）.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2015年第5期561-564,共4页
Journal of Natural Science of Heilongjiang University
基金
国家自然科学基金资助项目(11431010
11371278
11271284)
上海市科学技术委员会资助项目(12XD1405000)
关键词
非有限分次李代数
广义Witt型代数
导子
not-finitely graded Lie algebras
generalized Witt type algebras
derivations
