A∞-algebras from Lie pairs

Key Points

• A∞-algebras provide a homotopic framework to understand complex algebraic structures, enhancing theoretical investigations.
• The study identifies morphisms and functor behavior within the context of Lie pairs, emphasizing seamless interactions.
• Adopting a theoretical model, the approach showcases how Lie pairs can influence A∞-algebra formations significantly.
• Implications extend to algebraic topology, highlighting potential connections between divergent mathematical fields.