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Deformations of associative algebras with inner products

John Terilla, Thomas Tradler

math.QAarXiv:math/0305052

Abstract

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.

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