1阶和2阶Schrödinger代数的Poisson代数结构  

On Poisson Algebra Structure of the Schrödinger Algebra in One and Two Dimensional Space-time

作　　者：闫琳璐 姚裕丰[1] Lin Lu YAN;Yu Feng YAO(School of Science,Shanghai Maritime University,Shanghai 201306,P.R.China)

机构地区：[1]上海海事大学理学院,上海201306

出　　处：《数学学报（中文版）》2024年第4期652-665,共14页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(12271345,12071136)。

摘　　要：Poisson代数是指同时具有结合代数结构与李代数结构的一类代数,其结合代数结构和李代数结构满足Leibniz法则.本文中确定了1阶和2阶Schrödinger代数的Poisson代数结构.Poisson algebras are a class of algebras that admit both associative algebra structure and Lie algebra structure satisfying the Leibniz rule.In this paper,the Poisson algebra structures of the Schrödinger algebras in one and two dimensional space-time are determined.

关 键 词：POISSON代数 Schrödinger代数 2阶Schrödinger代数 Leibniz法则 

分 类 号：O152.5[理学—数学]