Deformations of associative algebras with inner products

Mathematics – Quantum Algebra

Scientific paper

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14 pages

Scientific paper

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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