Poisson spectra in polynomial algebras

DOI10.1016/j.jalgebra.2013.11.004zbMath1351.17023arXiv1212.5158OpenAlexW2054725629MaRDI QIDQ405816

David A. Jordan, Sei-Qwon Oh

Publication date: 8 September 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5158

zbMATH Keywords

polynomial algebraPoisson algebraPoisson prime ideal

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Poisson algebras (17B63)

Related Items (3)

Poisson deleting derivations algorithm and Poisson spectrum ⋮ On the importance of being primitive ⋮ Connected quantized Weyl algebras and quantum cluster algebras

Uses Software

• Macaulay2

Cites Work

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• Quantum and Poisson structures of multi-parameter symplectic and Euclidean spaces
• Lectures on algebraic quantum groups
• \(n\)-Poisson and \(n\)-Sklyanin brackets
• POISSON STRUCTURES: TOWARDS A CLASSIFICATION
• On one class of exact Poisson structures
• Poisson brackets and Poisson spectra in polynomial algebras
• Semiclassical limits of quantized coordinate rings
• Symplectic ideals of poisson algebras and the poisson structure associated to quantum matrices
• Poisson orders, symplectic reflection algebras and representation theory
• Poisson Prime Ideals of Poisson Polynomial Rings

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