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Derived equivalences for tame weakly symmetric algebras having only periodic modules

✍ Scribed by Jerzy Białkowski; Thorsten Holm; Andrzej Skowroński

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 274 KB
Volume: 269
Category: Article
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(03)00368-5

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✦ Synopsis

Recently, a classification up to Morita equivalence of all weakly symmetric algebras which have tame representation type, simply connected Galois coverings and all of whose modules are periodic (equivalently, the stable Auslander-Reiten quiver consist only of tubes) has been completed in [J. Białkowski, A. Skowroński, On tame weakly symmetric algebras having only periodic modules, Arch. Math., to appear]. We classify in this paper these algebras up to derived equivalence and give a set of representatives for the derived equivalence classes.