On finite-dimensional simple Poisson modules of a certain Poisson algebra

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Kanokporn Changtong
Ratee Bojaras
Nongkhran Sasom
Sarawut Saenkarun

Abstract

A Poisson algebra  with three generators and certain three relations is studied. We show that there are five Poisson maximal ideals of . Furthermore, we classify the finite-dimensional simple Poisson modules over  by using the method in [6]. The result is that there are five -dimensional simple Poisson modules for each

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