| 关于Poisson包络代数的注记(英文) |
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| 引用本文： | 鲍炎红,李华.关于Poisson包络代数的注记(英文)[J].安徽大学学报(自然科学版),2013(1):23-27. |
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| 作者姓名： | 鲍炎红 李华 |
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| 作者单位： | 安徽大学数学科学学院 |
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| 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) |
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| 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.
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| 关 键 词： | Poisson代数 (拟)Poisson模 (拟)Poisson包络代数 泛性质 |
Notes on Poisson enveloping algebras |
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| BAO Yan-hong,LI Hua.Notes on Poisson enveloping algebras[J].Journal of Anhui University(Natural Sciences),2013(1):23-27. |
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| Authors: | BAO Yan-hong LI Hua |
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| Institution: | (School of Mathematical Sciences,Anhui University,Hefei 230601,China) |
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| 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. |
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| Keywords: | Poisson algebras (quasi-) Poisson modules (quasi-) Poisson enveloping algebras universal property |
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