Poincaré–Birkhoff–Witt theorem for Poisson enveloping algebra

DOI10.1080/00927872.2022.2027429zbMath1497.17031OpenAlexW4210888433MaRDI QIDQ5080198

Y. van Huynh, Sei-Qwon Oh, Hanna Sim

Publication date: 31 May 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2022.2027429

zbMATH Keywords

Poisson algebraPBW theoremPoisson enveloping algebra

Mathematics Subject Classification ID

Poisson algebras (17B63) Graded rings and modules (associative rings and algebras) (16W50) Filtered associative rings; filtrational and graded techniques (16W70)

Cites Work

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• Universal enveloping algebras and universal derivations of Poisson algebras
• Poisson enveloping algebras and the Poincaré-Birkhoff-Witt theorem
• Poisson brackets and Poisson spectra in polynomial algebras
• Poisson cohomology and quantization.
• Poisson enveloping algebras
• Enveloping algebras of double Poisson-Ore extensions
• A POINCARÉ-BIRKHOFF-WITT THEOREM FOR POISSON ENVELOPING ALGEBRAS
• A note on the duality between Poisson homology and cohomology
• Differential Forms on General Commutative Algebras

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