Poisson enveloping algebras and the Poincaré-Birkhoff-Witt theorem

DOI10.1016/j.jalgebra.2017.05.001zbMath1367.53062arXiv1601.01528OpenAlexW2962757550MaRDI QIDQ2357515

Thierry Lambre, Pol Vanhaecke, Cyrille Ospel

Publication date: 13 June 2017

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

Full work available at URL: https://arxiv.org/abs/1601.01528

zbMATH Keywords

singularitiesPoisson structuresenveloping algebrasLie-Rinehart algebras

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (5)

Poincaré–Birkhoff–Witt theorem for Poisson enveloping algebra ⋮ Universal enveloping algebras of generalized Poisson-Ore extensions ⋮ Duality for differential operators of Lie-Rinehart algebras ⋮ Enveloping algebras of double Poisson-Ore extensions ⋮ Poisson primitive ideals of a Poisson order

Cites Work

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• Biinvertible actions of Hopf algebras
• Tensor products of Poisson algebras
• Filtered Algebras and Representations of Lie Algebras
• Poisson cohomology and quantization.
• A Remark on the Birkhoff-Witt Theorem
• Poisson enveloping algebras
• Symplectic groupoids and Poisson manifolds
• A POINCARÉ-BIRKHOFF-WITT THEOREM FOR POISSON ENVELOPING ALGEBRAS
• Rings of Invariant Polynomials for a Class of Lie Algebras
• Differential Forms on General Commutative Algebras

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