Geodesic
Deformations of associative algebras with inner products
Homology, homotopy, and applications, Tome 8 (2006) no. 2, pp. 115-131.

Voir la notice de l'article provenant de la source International Press of Boston

We develop the deformation theory of $A_{\infty}$ algebras together with $\infty$-inner products and identify a differential graded Lie algebra that controls the theory. This generalizes the deformation theories of associative algebras, $A_{\infty}$ algebras, associative algebras with inner products, and $A_{\infty}$ algebras with inner products.
DOI : 10.4310/HHA.2006.v8.n2.a7
Classification : 16S10, 55P10
Keywords: homotopy, inner product, deformation theory 
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     title = {Deformations of associative algebras with inner products},
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     pages = {115--131},
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John Terilla; Thomas Tradler. Deformations of associative algebras with inner products. Homology, homotopy, and applications, Tome 8 (2006) no. 2, pp. 115-131. doi : 10.4310/HHA.2006.v8.n2.a7. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2006.v8.n2.a7/

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