Poisson algebras in terms of non-associative algebras

DOI10.1016/J.JALGEBRA.2008.01.024zbMath1165.17003arXivmath/0602246OpenAlexW2067278860MaRDI QIDQ947526

Michel Goze, Elisabeth Remm

Publication date: 6 October 2008

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

Full work available at URL: https://arxiv.org/abs/math/0602246

zbMATH Keywords

cohomologyPoisson algebraspower-associative algebras

Mathematics Subject Classification ID

Poisson algebras (17B63) Power-associative rings (17A05)

Related Items (17)

Structures and low dimensional classifications of Hom-Poisson superalgebras ⋮ Admissible Poisson bialgebras ⋮ Poisson triple systems ⋮ Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras ⋮ Transposed Poisson structures ⋮ Sectional nonassociativity of metrized algebras ⋮ Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras ⋮ On extension of classical Baer results to Poisson algebras ⋮ Weakly associative algebras, Poisson algebras and deformation quantization ⋮ The global extension problem, crossed products and co-flag non-commutative Poisson algebras ⋮ Special bi-invariant linear connections on Lie groups and finite dimensional Poisson structures ⋮ Polarization and deformations of generalized dendriform algebras ⋮ Commutative post-Lie algebra structures on nilpotent Lie algebras and Poisson algebras ⋮ Associative and Lie deformations of Poisson algebras ⋮ Unnamed Item ⋮ On associative representations of non-associative algebras ⋮ Deformations of Courant pairs and Poisson algebras

Cites Work

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• Lie-admissible algebras and operads.
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• Algebras with one operation including Poisson and other Lie-admissible algebras
• Le rang du systeme lineaire des racines d'une algebre de lie rigide resoluble complexe
• Duality for base-changing morphisms of vector bundles, modules, Lie algebroids and Poisson structures
• On a Class of Nonflexible Algebras
• A Class of Nonassociative Algebras
• On the classification of rigid Lie algebras

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