Cohomology and deformation quantization of Poisson conformal algebras

DOI10.1016/j.jalgebra.2023.03.047arXiv2209.12242MaRDI QIDQ6105007

Jiefeng Liu, Hong-Yu Zhou

Publication date: 26 June 2023

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

Full work available at URL: https://arxiv.org/abs/2209.12242

zbMATH Keywords

cohomologydeformation quantization(noncommutative) Poisson conformal algebras

Mathematics Subject Classification ID

Deformation quantization, star products (53D55) Poisson algebras (17B63) Cohomology of Lie (super)algebras (17B56)

Cites Work

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• Lie conformal algebra cohomology and the variational complex
• Computation of cohomology of Lie conformal and Poisson vertex algebras
• Cohomology structure for a Poisson algebra. II
• Finite-dimensional non-commutative Poisson algebras
• Deformation theory and quantization. I: Deformations of symplectic structures
• Deformation theory and quantization. II: Physical applications
• Les variétés de Poisson et leurs algèbres de Lie associees
• Structure theory of finite conformal algebras
• Algebraic geometry of Poisson brackets
• Cohomology of conformal algebras
• Conformal modules
• Vertex algebras generated by Lie algebras
• On free conformal and vertex algebras
• Lectures on the geometry of Poisson manifolds
• Non-commutative Poisson algebra structures on affine Kac-Moody algebras
• Finite-dimensional simple Leibniz pairs and simple Poisson modules
• Quadratic conformal superalgebras
• On free Gelfand-Dorfman-Novikov-Poisson algebras and a PBW theorem
• Deformation quantization of Poisson manifolds
• Poisson deformations of symplectic quotient singularities
• Cohomology and deformation of Leibniz pairs
• (Quasi-)Poisson enveloping algebras
• Quadratic Lie conformal superalgebras related to Novikov superalgebras
• Noncommutative Poisson bialgebras
• Poisson vertex algebras in the theory of Hamiltonian equations
• On the Hochschild cohomologies of associative conformal algebras with a finite faithful representation
• Associative conformal algebras with finite faithful representation.
• Computation of cohomology of vertex algebras
• Cohomology structure for a Poisson algebra: I
• Hochschild cohomologies for associative conformal algebras
• Noncommutative Poisson Algebras
• VERTEX ALGEBRAS AND VERTEX POISSON ALGEBRAS
• Field Algebras
• Universal enveloping Poisson conformal algebras
• Universal enveloping conformal algebras.
• Theory of finite pseudoalgebras

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