Deformation of Algebra Factorisations
arXiv:math/9905178
Abstract
A general deformation theory of algebras which factorise into two subalgebras is studied. It is shown that the classification of deformations is related to the cohomology of a certain double complex reminiscent of the Gerstenhaber-Schack complex of a bialgebra.
12 pages, LaTeX, uses amscd; proof of Theorem 3.1 corrected, new examples and references added; final version to appear in Commun. Algebra