Cohomology structure for a Poisson algebra: I

DOI10.1142/S0219498816500341zbMath1395.17043MaRDI QIDQ2788574

Yan-Hong Bao, Yu Ye

Publication date: 19 February 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Poisson algebraquasi-Poisson cohomologyquasi-Poisson enveloping algebraquasi-Poisson module

Mathematics Subject Classification ID

Poisson algebras (17B63) Cohomology of Lie (super)algebras (17B56)

Related Items (5)

Cohomology structure for a Poisson algebra. II ⋮ Noncommutative Poisson bialgebras ⋮ Cohomology and deformation quantization of Poisson conformal algebras ⋮ Maurer-Cartan characterizations and cohomologies of compatible Lie algebras ⋮ Cohomologies of \textsf{PoiMod} pairs and compatible structures on Poisson algebras

Cites Work

• Poisson structures on moduli spaces of representations
• Finite-dimensional non-commutative Poisson algebras
• Ring theory from symplectic geometry
• Non-commutative Poisson algebra structures on affine Kac-Moody algebras
• Finite-dimensional simple Leibniz pairs and simple Poisson modules
• Cohomology and deformation of Leibniz pairs
• (Quasi-)Poisson enveloping algebras
• Quiver Poisson algebras
• On the cohomology groups of an associative algebra
• Double Poisson algebras
• Noncommutative Poisson Algebras

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