Associative and Lie deformations of Poisson algebras

zbMath1290.17020arXiv1105.2670MaRDI QIDQ4920913

Elisabeth Remm

Publication date: 22 May 2013

Full work available at URL: https://arxiv.org/abs/1105.2670

zbMATH Keywords

deformationsPoisson structuresPoisson cohomology

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63) Cohomology of Lie (super)algebras (17B56) Generalized geometries (à la Hitchin) (53D18)

Related Items (6)

Structures and low dimensional classifications of Hom-Poisson superalgebras ⋮ Admissible Poisson bialgebras ⋮ On ternary (Hom-)Nambu-Poisson algebras ⋮ Unnamed Item ⋮ Weakly associative algebras, Poisson algebras and deformation quantization ⋮ On associative representations of non-associative algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dimension theorem for free ternary partially associative algebras and applications
• On algebras obtained by tensor product
• (Non-)Koszulness of operads for \(n\)-ary algebras, galgalim and other curiosities
• Poisson algebras in terms of non-associative algebras
• Poisson structures on \(\mathbb C[X_1,\dots,X_n\) associated with rigid Lie algebras]
• Les variétés de Poisson et leurs algèbres de Lie associees
• Lectures on the geometry of Poisson manifolds
• Poisson (co)homology and isolated singularities
• Algebras with one operation including Poisson and other Lie-admissible algebras
• On the non-Koszulity of ternary partially associative operad
• Deformation Theory (lecture notes)
• VALUED DEFORMATIONS OF ALGEBRAS

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