Virasoro-like代数的导出子代数的自同构表达式  

The Automorphic Expressions of the Derived Algebra of the Virasoro-like Algebra

作　　者：陈育明[1] 

机构地区：[1]泉州师范学院理工学院,福建泉州362000

出　　处：《泉州师范学院学报》2007年第2期36-40,共5页Journal of Quanzhou Normal University

摘　　要：Virasoro代数是非常重要的李代数,Virasoro代数的模可以用来刻画理论物理的模型,Virasoro-like代数是Virasoro代数的推广.文章研究了Virasoro-like代数的导出子代数的自同构;证明了这类李代数的自同构一定是分次自同构,并在此基础上,给出了所有的自同构表达式,从而使人们更深入的了解Virasoro-like代数的导出子代数的结构.Virasoro is a very important Lie algebra,whose modules can be used to describe the models of the theory physics, Virasoro-like algebra is the extension of the Virasoro algebra. This paper studies the automorphic expressions of the derived algebra of the Virasoro-like algebra, it reaches two conclusions： 1. It proves that every automorphism of the derived algebra of the Virasoro-like algebra must be a graded automorphism. 2. On the base of 1,it gives all automorphic expressions, which facilitates the understanding its structures.

关 键 词：VIRASORO-LIKE代数 导出子代数 自同构 

分 类 号：O152.5[理学—数学]