Universal enveloping algebras of generalized Poisson–Ore extensions

Universal enveloping algebras of generalized Poisson–Ore extensions
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DOI:
10.1216/rmj.2021.51.747
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发表时间:
2021-04
影响因子:
0.8
通讯作者:
Yuan-Yuan Shen-Yuan;Xia Zheng
Yuan-Yuan Shen-Yuan;Xia Zheng
中科院分区:
数学4区
文献类型:
--
作者:
Yuan-Yuan Shen-Yuan;Xia Zheng

文献摘要

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本文的主要目的是研究广义Poisson-Ore扩张的Poisson泛包络代数。证明了这样的Poisson泛包络代数是扭张量积。
The main goal of this paper is to study the Poisson universal enveloping algebra of a generalized Poisson–Ore extension. We prove such a Poisson universal enveloping algebra is a twisted tensor product.