02-19
Derived equivalences for tame weakly symmetric algebras having only periodic modules
by Jerzy Bialkowski; Thorsten Holm; Andrzej Skowronski
Preprint series: 02-19, Preprints
The paper is published: Journal of Algebra 269 No.2 (2003), 652-668
- MSC:
- 16G10 Representations of Artinian rings
- 18E30 Derived categories, triangulated categories
- 16D50 Injective modules, self-injective rings, See also {16L60, 18G05}
- 16G60 Representation type (finite, tame, wild, etc.)
- 16G70 Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers
Abstract: 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.
Notes: The first and third named authors gratefully acknowledge support from the Foundation for Polish Science and the Polish Scientific Grant KBN No. 5 2P03A 008 21.
The author(s) agree, that this abstract may be stored asfull text and distributed as such by abstracting services.