Homology, Homotopy and Applications
Volume 8 (2006)
Number 2
Deformations of associative algebras with inner products
Pages: 115 – 131
DOI: https://dx.doi.org/10.4310/HHA.2006.v8.n2.a7
Authors
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.)
Abstract
We develop the deformation theory of algebras together with -inner products and identify a differential graded Lie algebra that controls the theory. This generalizes the deformation theories of associative algebras, algebras, associative algebras with inner products, and algebras with inner products.
Keywords
homotopy, inner product, deformation theory
2010 Mathematics Subject Classification
16S10, 55P10
Published 1 January 2006