Poisson (co)homology of polynomial Poisson algebras in dimension four: Sklyanin's case

DOI10.1016/j.jalgebra.2009.05.024zbMath1173.53332arXiv0803.1635OpenAlexW2078430060MaRDI QIDQ731912

Serge Roméo Tagne Pelap

Publication date: 9 October 2009

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

Full work available at URL: https://arxiv.org/abs/0803.1635

zbMATH Keywords

Poisson structuresCasimir functionsPoisson (co)homologycomplete intersection with an isolated singularityunimodular Poisson structure

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Related Items

\(\mathbb{Z}_2\)-graded Poisson algebras, their deformations and cohomology in low dimensions, Zeroth Poisson homology of symmetric powers of isolated quasihomogeneous surface singularities, Poisson cohomology of broken Lefschetz fibrations, Homological properties of certain generalized Jacobian Poisson structures in dimension 3, Integer solutions of integral inequalities and \(H\)-invariant Jacobian Poisson structures, Twisted Poincaré duality between Poisson homology and Poisson cohomology, On the Heisenberg invariance and the elliptic Poisson tensors, Calabi-Yau algebras viewed as deformations of Poisson algebras., On the Hochschild homology of elliptic Sklyanin algebras., Frobenius Poisson algebras

Cites Work

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• Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras
• On the Hochschild homology of elliptic Sklyanin algebras.
• Some algebraic structures connected with the Yang-Baxter equation
• Graded algebras of global dimension 3
• A differential complex for Poisson manifolds
• On a generalization of de Rham lemma
• Les variétés de Poisson et leurs algèbres de Lie associees
• Gerstenhaber algebras and BV-algebras in Poisson geometry
• Noncommutative homology of some three-dimensional quantum spaces
• Homologies of cubic Artin-Schelter regular algebras
• Polynomial Poisson algebras with regular structure of symplectic leaves
• Poisson (co)homology and isolated singularities
• Lie-Poisson Structure on Some Poisson Lie Groups
• Traces on the Sklyanin algebra and correlation functions of the eight-vertex model