Homology, Homotopy and Applications

Volume 8 (2006)

Number 2

Deformations of associative algebras with inner products

Pages: 115 – 131

DOI: http://dx.doi.org/10.4310/HHA.2006.v8.n2.a7


John Terilla (Department of Mathematics, Queens College of the City University of New York, Flushing, N.Y., U.S.A.)

Thomas Tradler (Department of Mathematics, College of Technology of the City University of New York, Brooklyn, N.Y., U.S.A.)


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.


homotopy; inner product; deformation theory

2010 Mathematics Subject Classification

16S10, 55P10

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