安徽大学学报(自然科学版)2013,Vol.37Issue(1):23-27,5.DOI:10.3969/j.issn.1000-2162.2013.01.005
关于Poisson包络代数的注记
Notes on Poisson enveloping algebras
摘要
Abstract
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Key words
Poisson algebras/ ( quasi -) Poisson modules/ ( quasi - ) Poisson enveloping algebras/ universal property分类
数理科学引用本文复制引用
鲍炎红,李华..关于Poisson包络代数的注记[J].安徽大学学报(自然科学版),2013,37(1):23-27,5.基金项目
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) (11126173)