Poisson spectra in polynomial algebras

2012/12/20 by David Jordan, Jordan, David A., Sei‐Qwon Oh +1
Mathematics · Physics and Astronomy · #17B63 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1212.5158

openalex publication_date 2012/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A significant class of Poisson brackets on the polynomial algebra \C[x₁,x₂,..., 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.

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