Article ID Journal Published Year Pages File Type
4584912 Journal of Algebra 2014 16 Pages PDF
Abstract

A significant class of Poisson brackets on the polynomial algebra C[x1,…,xn]C[x1,…,xn] is studied and, for this class of Poisson brackets, the Poisson prime ideals, Poisson primitive ideals and symplectic cores are determined. Moreover it is established that these Poisson algebras satisfy the Poisson Dixmier–Moeglin equivalence.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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