Poisson brackets and Poisson spectra in polynomial algebras

Abstract

Poisson brackets on the polynomial algebra C[x,y,z] are studied. A description of all such brackets is given and, for a significant class of Poisson brackets, the Poisson prime ideals and Poisson primitive ideals are determined. The results are illustrated by numerous examples.

includes minor corrections to published version

References in corpus (2)

• The quantum algebra $U_q(s{l}_2)$ and its equitable presentation
• The Dixmier-Moeglin equivalence and a Gel'fand-Kirillov problem for Poisson polynomial algebras

Cited by in corpus (1)

• Poisson spectra in polynomial algebras