Deformation of Algebra Factorisations
Rings and Algebras
2007-05-23 v2 Quantum Algebra
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.
Cite
@article{arxiv.math/9905178,
title = {Deformation of Algebra Factorisations},
author = {Tomasz Brzezinski},
journal= {arXiv preprint arXiv:math/9905178},
year = {2007}
}
Comments
12 pages, LaTeX, uses amscd; proof of Theorem 3.1 corrected, new examples and references added; final version to appear in Commun. Algebra