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Deformation of Algebra Factorisations

Tomasz Brzezinski

math.RAarXiv: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.

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