English

Poisson spectra in polynomial algebras

Rings and Algebras 2012-12-21 v1

Abstract

A significant class of Poisson brackets on the polynomial algebra \C[x1,x2,...,xn]\C[x_1,x_2,..., x_n] is studied and, for this class of Poisson brackets, the Poisson prime ideals and Poisson primitive ideals are determined. Moreover it is established that these Poisson algebras satisfy the Poisson Dixmier-Moeglin equivalence.

Keywords

Cite

@article{arxiv.1212.5158,
  title  = {Poisson spectra in polynomial algebras},
  author = {David A. Jordan and Sei-Qwon Oh},
  journal= {arXiv preprint arXiv:1212.5158},
  year   = {2012}
}
R2 v1 2026-06-21T22:58:14.035Z