Poisson double extensions

DOI10.1007/s11425-017-9333-xzbMath1455.17023OpenAlexW2914846593MaRDI QIDQ2309653

Sei-Qwon Oh, Qi Lou, Shengqiang Wang

Publication date: 1 April 2020

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-017-9333-x

zbMATH Keywords

deformation quantizationsemiclassical limitPoisson double extension

Mathematics Subject Classification ID

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

Related Items (1)

Universal enveloping algebras of generalized Poisson-Ore extensions

Cites Work

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• Twisted Poincaré duality between Poisson homology and Poisson cohomology
• Semiclassical limits of Ore extensions and a Poisson generalized Weyl algebra
• Double Ore extensions.
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• Graded algebras of global dimension 3
• The diamond lemma for ring theory
• Noncommutative homology of some three-dimensional quantum spaces
• Lectures on algebraic quantum groups
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• Realization of Poisson enveloping algebra
• A quadratic Poisson Gel’fand-Kirillov problem in prime characteristic
• Poisson brackets and Poisson spectra in polynomial algebras
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• Universal enveloping algebras of Poisson Ore extensions
• A natural map from a quantized space onto its semiclassical limit and a multi-parameter Poisson Weyl algebra
• Double Ore Extensions Versus Iterated Ore Extensions
• On Involutivity ofp-Support
• REVERSIBLE SKEW LAURENT POLYNOMIAL RINGS AND DEFORMATIONS OF POISSON AUTOMORPHISMS
• Poisson enveloping algebras
• Duality for Lie-Rinehart algebras and the modular class
• Enveloping algebras of double Poisson-Ore extensions
• Poisson Polynomial Rings

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