p次微分分次Poisson代数的平凡扩张  

The trivial extensions of p-differential graded Poisson algebras

作　　者：戴烨齐 吕家凤 DAI Yeqi;LYU Jiafeng(College of Mathematics and Computer Science,Zhejiang Normal University,Jinhua 321004,China)

机构地区：[1]浙江师范大学数学与计算机科学学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2021年第4期367-372,共6页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金面上资助项目(11571316)。

摘　　要：为了研究p次微分分次Poisson代数的平凡扩张,运用类比的思想方法,定义了p次微分分次Poisson代数的扩张代数,并通过计算给出了扩张代数成为p次微分分次Poisson代数的相关性质.作为应用,得到了扩张代数成为p次微分分次Poisson代数的充分必要条件.The trivial extension of p-differential graded Poisson algebras was studied.By applying the thought of analogy,the notion of trivial extension of p-differential graded Poisson algebras was defined and some properties of trivial extension of p-differential graded Poisson algebras were given.As an application,a necessary and sufficient condition for the trivial extension algebra to be a p-differential graded Poisson algebras was presented.

关 键 词：李代数 POISSON代数 微分分次Poisson代数 平凡扩张 

分 类 号：O153[理学—数学]