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arxiv: math/0305052 · v1 · submitted 2003-05-02 · 🧮 math.QA

Deformations of associative algebras with inner products

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keywords algebrasinftyinnerproductsassociativedeformationtheoryalgebra
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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.

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