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Poisson double extensions |
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| Authors: | Lou Qi Oh Sei-Qwon Wang Shengqiang |
| Institution: | 1.School of Mathematical Sciences, Fudan University, Shanghai, 200433, China ;2.Department of Mathematics, Chungnam National University, Daejeon, 34134, Republic of Korea ;3.Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China ; |
| Abstract: | A double Ore extension was introduced by Zhang and Zhang(2008) to study a class of ArtinShelter regular algebras. Here we give a definition of Poisson double extension which may be considered as an analogue of the 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. |
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