Finite-dimensional non-commutative Poisson algebras

DOI10.1016/0022-4049(95)00151-4zbMath0872.16020OpenAlexW1966624633MaRDI QIDQ1126246

Fujio Kubo

Publication date: 6 June 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00151-4

zbMATH Keywords

Lie algebrasLie bracketscommutatorsfinite-dimensional Poisson algebrasPoisson ideals

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Poisson algebras (17B63) Derivations, actions of Lie algebras (16W25)

Related Items

Quiver Poisson algebras ⋮ Non-commutative Poisson Algebra Structures on the Lie Algebra $so_n\widetilde{({\Bbb C}_Q)}$ ⋮ Hochschild products and global non-abelian cohomology for algebras. Applications ⋮ Non-commutative Poisson algebra structures on affine Kac-Moody algebras ⋮ Poisson structures on finitary incidence algebras ⋮ Noncommutative Poisson bialgebras ⋮ On extended graded Poisson algebras ⋮ Cohomology and deformation quantization of Poisson conformal algebras ⋮ Hom-Jordan-Malcev-Poisson algebras ⋮ Left-right noncommutative Poisson algebras ⋮ Non-commutative Poisson Algebras Admitting a Multiplicative Basis ⋮ Poisson structures on basic cycles ⋮ FINITE-DIMENSIONAL NON-COMMUTATIVE POISSON ALGEBRAS. II ⋮ The global extension problem, crossed products and co-flag non-commutative Poisson algebras ⋮ Strongly Split Poisson Algebras ⋮ Distortion of the Poisson bracket by the noncommutative Planck constants ⋮ Cohomology structure for a Poisson algebra: I ⋮ On the structure of split non-commutative Poisson algebras ⋮ Poisson structures for canonical algebras ⋮ On functional identities andd-free subsets of rings, I ⋮ Distributive laws between the Three Graces ⋮ Projectivity and flatness over the endomorphism ring of a finitely generated quasi-Poisson comodule

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the deformation of rings and algebras. IV
• Cohomology and deformation of Leibniz pairs
• The cohomology structure of an associative ring
• On the deformation of rings and algebras. II
• On the deformation of rings and algebras. III
• On the Deformation of Algebra Morphisms and Diagrams
• Introduction to Lie Algebras and Representation Theory