关于Poisson包络代数的注记(英文)  

Notes on Poisson enveloping algebras

作　　者：鲍炎红[1] 李华[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《安徽大学学报（自然科学版）》2013年第1期23-27,共5页Journal of Anhui University(Natural Science Edition)

基　　金：Supported by National Natural Science Foundation of China(11126173);Project of Anhui Province of Excellent Young Talents in University(2011SQRL013ZD);Scientific Research Foundation for the PhDs of Anhui University and Graduate Academic Innovation Team of Anhui University(YFC100008)

摘　　要：Poisson代数源于对Poisson几何的研究.随着非交换几何的发展,非交换Poisson代数从各个不同的方面得到广泛的关注与研究.论文主要研究了拟Poisson包络代数与Poisson包络代数的泛性质,并针对一类单边(拟)Poisson模构造了相应的泛包络代数.Poisson algebras originates from the investigation of Poisson geometry.With the development of noncommutative geometry,non-commutative Poisson algebrs（NCPA） had been investigated widely by many authors from different perspectives.In the paper,the universal property of（quasi-） Poisson enveloping algebras was investigated and the universal enveloping algebras relative to one-sided Poisson modules were constructed.

关 键 词：POISSON代数 (拟)Poisson模 (拟)Poisson包络代数 泛性质 

分 类 号：O153.3[理学—数学]