A note on the duality between Poisson homology and cohomology

DOI10.1080/00927872.2020.1758124zbMath1478.17024arXiv1404.4819OpenAlexW3020899419MaRDI QIDQ5123015

Xingting Wang, Guangbin Zhuang, Jia Feng Lü

Publication date: 25 September 2020

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

Full work available at URL: https://arxiv.org/abs/1404.4819

zbMATH Keywords

Poisson cohomologyPoisson algebrasLie-Rinehart algebrasPoisson homology

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Poisson algebras (17B63)

Related Items (1)

Poincaré–Birkhoff–Witt theorem for Poisson enveloping algebra

Cites Work

• Universal enveloping algebras and universal derivations of Poisson algebras
• Twisted Poincaré duality between Poisson homology and Poisson cohomology
• Calabi-Yau algebras viewed as deformations of Poisson algebras.
• Poisson and Hochschild cohomology and the semiclassical limit
• Duality for differential operators of Lie-Rinehart algebras
• Universal enveloping algebras of Poisson Hopf algebras
• Twisted Poincaré duality for some quadratic Poisson algebras
• Homological unimodularity and Calabi-Yau condition for Poisson algebras
• Poisson cohomology and quantization.
• Poisson enveloping algebras
• Differential Forms on General Commutative Algebras

This page was built for publication: A note on the duality between Poisson homology and cohomology