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关于Poisson包络代数的注记

鲍炎红 李华

安徽大学学报(自然科学版)2013,Vol.37Issue(1):23-27,5.
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

鲍炎红 1李华1

作者信息

  • 1. 安徽大学数学科学学院,安徽合肥230601
  • 折叠

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)

安徽大学学报(自然科学版)

OA北大核心CSTPCD

1000-2162

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