\(\mathbb{Z}_2\)-graded Poisson algebras, their deformations and cohomology in low dimensions

DOI10.1007/s00031-017-9465-2zbMath1451.17007OpenAlexW2769555737MaRDI QIDQ1630650

Y. Aharonov

Publication date: 10 December 2018

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00031-017-9465-2

zbMATH Keywords

singularityMilnor numberPoisson cohomologyMilnor algebraCasimir cocyclePoisson infinity structurePoisson structure on a polynomial algebra

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55) Poisson algebras (17B63)

Related Items

Towards an M5‐Brane Model II: Metric String Structures ⋮ L_∞‐Algebras of Classical Field Theories and the Batalin–Vilkovisky Formalism ⋮ Transposed Poisson structures ⋮ \(A_\infty\)-algebra from supermanifolds ⋮ On some formality criteria for DG-Lie algebras

Cites Work

• Unnamed Item
• Unnamed Item
• The intrinsic bracket on the deformation complex of an associative algebra
• Poisson (co)homology of polynomial Poisson algebras in dimension four: Sklyanin's case
• Formal deformations of Poisson structures in low dimensions
• Les variétés de Poisson et leurs algèbres de Lie associees
• Poisson cohomology in dimension two
• Poisson cohomology of the affine plane
• Deformation quantization of Poisson manifolds
• Poisson (co)homology and isolated singularities
• Higher derived brackets and homotopy algebras
• INTRODUCTION TO SUPERGEOMETRY
• Poisson cohomology and quantization.
• The Z2-graded Schouten–Nijenhuis bracket and generalized super-Poisson structures
• Using Algebraic Geometry

This page was built for publication: \(\mathbb{Z}_2\)-graded Poisson algebras, their deformations and cohomology in low dimensions