Maurer-Cartan equation of \(A_\infty\)-algebras.

DOI10.1007/S11766-004-0018-9zbMath1103.17309OpenAlexW2011843498MaRDI QIDQ1430631

Ji-Wei He

Publication date: 27 May 2004

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-004-0018-9

zbMATH Keywords

integrabilitydeformationsMaurer-Cartan equationdifferential graded Lie algebragraded associative algebrasMassey productaxioms of \(A_\infty\)-algebras

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (1)

Massey products, A_∞-algebras, differential equations, and Chekanov homology

Cites Work

• The intrinsic bracket on the deformation complex of an associative algebra
• The cohomology structure of an associative ring
• The Geometry of the Master Equation and Topological Quantum Field Theory
• Homotopy Associativity of H-Spaces. I
• Bimodule complexes via strong homotopy actions
• Massey brackets and deformations.
• Introduction to \(A\)-infinity algebras and modules
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