Subalgebras of the Gerstenhaber algebra of differential operators

DOI10.1142/S0219498817500050zbMath1357.16023arXiv1411.4968MaRDI QIDQ2958470

A. V. Bratchikov

Publication date: 2 February 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.4968

zbMATH Keywords

deformation quantizationdifferential operatorsGerstenhaber algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Deformation quantization, star products (53D55) Differential graded algebras and applications (associative algebraic aspects) (16E45) ``Super (or ``skew) structure (16W55)

Cites Work

• Unnamed Item
• Deformation theory and quantization. I: Deformations of symplectic structures
• Equivalence of star products on a symplectic manifold; an introduction to Deligne's Čech cohomology classes
• Deformation quantization of Poisson manifolds
• Deformation quantization of polynomial Poisson algebras
• The cohomology structure of an associative ring
• Formal solution of the master equation via HPT and deformation theory

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