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http://hdl.handle.net/1942/1358
Title: | Deformation theory of abelian categories | Authors: | Lowen, Wendy VAN DEN BERGH, Michel |
Issue Date: | 2006 | Publisher: | American Mathematical Society | Source: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 358(12). p. 5441-5485 | Abstract: | In this paper we develop the basic infinitesimal deformation theory of abelian categories. This theory yields a natural generalization of the wellknown 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. | Keywords: | Deformation theory; Abelian categories | Document URI: | http://hdl.handle.net/1942/1358 | ISSN: | 0002-9947 | e-ISSN: | 1088-6850 | DOI: | 10.1090/S0002-9947-06-03871-2 | ISI #: | 000242401400010 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2007 |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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def_ab_cat.pdf | Published version | 393.79 kB | Adobe PDF | View/Open |
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