(Quasi-)Poisson enveloping algebras
(Quasi-)Poisson enveloping algebras
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DOI：
10.1007/s10114-012-1041-z
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发表时间：
2010-11
期刊：
影响因子：
--
通讯作者：
Yan hong Yang;Yuan Yao;Yu Ye
中科院分区：
文献类型：
--
作者：
Yan hong Yang;Yuan Yao;Yu Ye
介绍了非交换泊松代数的准泊松包络代数和泊松包络代数。证明了对于非交换泊松代数，准泊松模的范畴等价于其准泊松包络代数上的左模的范畴，泊松模的范畴等价于其泊松包络代数上的左模的范畴。
We introduce the quasi-Poisson enveloping algebra and Poisson enveloping algebra for a non-commutative Poisson algebra. We prove that for a non-commutative Poisson algebra, the category of quasi-Poisson modules is equivalent to the category of left modules over its quasi-Poisson enveloping algebra, and the category of Poisson modules is equivalent to the category of left modules over its Poisson enveloping algebra.