Generalised Deformations, Koszul Resolutions, Moyal Products

DOI10.1142/S0129055X98000215zbMath0928.16023OpenAlexW2092331807WikidataQ129274844 ScholiaQ129274844MaRDI QIDQ4222546

François Nadaud

Publication date: 31 October 1999

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x98000215

zbMATH Keywords

rigiditycohomology spaces\(\sigma\)-deformationsMoyal products\(\sigma\)-cohomology

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Geometry and quantization, symplectic methods (81S10) Supersymmetry and quantum mechanics (81Q60) Deformations of associative rings (16S80) Cohomology of Lie (super)algebras (17B56)

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Quantum groups and deformation quantization: Explicit approaches and implicit aspects ⋮ Quantization: Deformation and/or functor? ⋮ A comparison of deformations and geometric study of varieties of associative algebras. ⋮ A simple construction of associative deformations ⋮ On two theorems about symplectic reflection algebras. ⋮ On Deformations of n-Lie Algebras

Cites Work

• On the equivalence between continuous and differential deformation theories
• Homology and cohomology for topological algebras
• The hidden group structure of quantum groups: Strong duality, rigidity and preferred deformations
• Noncommutative deformation theory