Virasoro代数上的阶化post-Lie代数结构  

Structure of graded post-Lie algebras on the Virasoro algebra

作　　者：胡海心 唐孝敏[1] HU Haixin;TANG Xiaomin(School of Mathematical Sciences,Heilongjiang University,Harbin 150080,China)

机构地区：[1]黑龙江大学数学科学学院,哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2020年第3期277-282,共6页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the National Natural Science Foundation of China (11771069);the Natural Science Foundation of Heilongjiang Province (A2015007)。

摘　　要：Virasoro代数是广泛应用到共形场论和弦论的一类无限维李代数。post-Lie代数出现在数学和物理的很多领域中。刻画了Virasoro代数上阶化post-Lie代数结构。The Virasoro algebra is an infinite-dimensional Lie algebra which is widely used in conformal field theory and string theory. The post-Lie algebras appear in many areas of mathematics and physics. The structure of graded post-Lie algebra on the Virasoro algebra is characterized.

关 键 词：李代数 post-Lie代数 VIRASORO代数 

分 类 号：O151.23[理学—数学]