Title
Deformation theory of abelian categories Deformation theory of abelian categories
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Providence, R.I. ,
Subject
Mathematics
Source (journal)
Transactions of the American Mathematical Society. - Providence, R.I.
Volume/pages
358(2006) :12 , p. 5441-5483
ISSN
0002-9947
1088-6850
ISI
000242401400010
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
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.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/2af0aa/d9539242.pdf
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