Deformations of associative algebras with inner products

John Terilla, Thomas Tradler
2006 Homology, Homotopy and Applications  
We develop the deformation theory of A ∞ algebras together with ∞-inner products and identify a differential graded Lie algebra that controls the theory. This generalizes the deformation theories of associative algebras, A ∞ algebras, associative algebras with inner products, and A ∞ algebras with inner products.
doi:10.4310/hha.2006.v8.n2.a7 fatcat:niajlnkuh5gbxgktjsp7o4q7pm