Deformation of Algebra Factorisations

Details Deformation of Algebra Factorisations Deformation of Algebra Factorisations

1999-05-27

arxiv.org/abs/math/9905178v2

Mathematics

Rings and Algebras

12 pages, LaTeX, uses amscd; proof of Theorem 3.1 corrected, new examples and references added; final version to appear in Com

Scientific paper

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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