The Dixmier-Moeglin equivalence and a Gel’fand-Kirillov problem for Poisson polynomial algebras

DOI10.24033/bsmf.2598zbMath1226.17016arXiv0705.3486OpenAlexW2962778335MaRDI QIDQ3169205

Stephane Launois, Kenneth R. Goodearl

Publication date: 28 April 2011

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.3486

zbMATH Keywords

Dixmier-Moeglin equivalenceGel'fand-Kirillov problemPoisson polynomial algebras

Mathematics Subject Classification ID

Poisson algebras (17B63)

Related Items (13)

Poisson algebras via model theory and differential-algebraic geometry ⋮ Poisson Noether's problem and Poisson rationality ⋮ Cancellation and skew cancellation for Poisson algebras ⋮ Log-canonical coordinates for Poisson brackets and rational changes of coordinates ⋮ Universal enveloping algebras of Poisson Ore extensions ⋮ On the semi-centre of a Poisson algebra ⋮ Cluster algebra structures on Poisson nilpotent algebras ⋮ Poisson derivations of a semiclassical limit of a family of quantum second Weyl algebras ⋮ Poisson deleting derivations algorithm and Poisson spectrum ⋮ PI degree parity in \(q\)-skew polynomial rings. ⋮ On the importance of being primitive ⋮ A quadratic Poisson Gel’fand-Kirillov problem in prime characteristic ⋮ Poisson catenarity in Poisson nilpotent algebras

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