On Poisson Algebra Structure of the Schr?dinger Algebra in One and Two Dimensional Space-time
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.
Poisson algebraSchrödinger algebraSchrödinger algebra in two dimen-sional space-timeLeibniz rule