Poisson primitive ideals of a Poisson order
Y. Van Huynh, Sei‐Qwon Oh, Hanna Sim
Abstract
Y. Van Huynh, Sei‐Qwon Oh, Hanna Sim
Abstract
Let R be an affine Poisson algebra over a field of characteristic zero and let A be a Poisson order over R. It is proved that every Poisson primitive ideal of A is annihilator of a simple Poisson A-module.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Let R be an affine Poisson algebra over a field of characteristic zero and let A be a Poisson order over R. It is proved that every Poisson primitive ideal of A is annihilator of a simple Poisson A-module.
Key concepts: Mathematics, Poisson distribution, Annihilator, Order (exchange), Ideal (ethics), Poisson algebra, Poisson bracket, Pure mathematics