Deformation theory of abelian categories
Category Theory
2007-05-23 v1 K-Theory and Homology
Abstract
In this paper we develop the basic infinitesimal deformation theory of abelian categories. This theory yields a natural generalization of the well-known deformation theory of algebras developed by Gerstenhaber. As part of our deformation theory we define a notion of flatness for abelian categories. We show that various basic properties are preserved under flat deformations and we construct several equivalences between deformation problems.
Cite
@article{arxiv.math/0405226,
title = {Deformation theory of abelian categories},
author = {Wenty T. Lowen and Michel Van den Bergh},
journal= {arXiv preprint arXiv:math/0405226},
year = {2007}
}
Comments
44 pages