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Derived equivalences for tame weakly symmetric algebras having only periodic modules

by Jerzy Bialkowski, Thorsten Holm, Andrzej Skowronski.

Series: 2002-19, Preprints

16G10 Representations of Artinian rings
18E30 Derived categories, triangulated categories
16D50 Injective modules, self-injective rings
16G60 Representation type (finite, tame, wild, etc.)
16G70 ~Auslander-Reiten sequences (almost split sequences) and ~Auslander-Reiten quivers

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 by Bialkowski-Skowronski (to appear in Archiv
der Mathematik). We classify in this paper these algebras
up to derived equivalence and give a set of representatives
for the derived equivalence classes.


This paper was published in:
Journal of Algebra 269 No.2 (2003), 652-668