文献类型：期刊文献

英文题名：Poisson double extensions

作者：Lou, Qi[1];Oh, Sei-Qwon[2];Wang, Shengqiang[3]

机构：[1]Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China;[2]Chungnam Natl Univ, Dept Math, Daejeon 34134, South Korea;[3]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2020

卷号：63

期号：4

起止页码：701

外文期刊名：SCIENCE CHINA-MATHEMATICS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000521838500006)】；

语种：英文

外文关键词：Poisson double extension; semiclassical limit; deformation quantization

摘要：A double Ore extension was introduced by Zhang and Zhang (2008) to study a class of Artin-Shelter regular algebras. Here we give a definition of Poisson double extension which may be considered as an analogue of double Ore extension, and show that algebras in a class of double Ore extensions are deformation quantizations of Poisson double extensions. We also investigate the modular derivations of Poisson double extensions and the relationship between Poisson double extensions and iterated Poisson polynomial extensions. Results are illustrated by examples.