Derived equivalences for tame weakly symmetric algebras having only periodic modules. (Q1414683)

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scientific article; zbMATH DE number 2013034
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Derived equivalences for tame weakly symmetric algebras having only periodic modules.
scientific article; zbMATH DE number 2013034

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    Derived equivalences for tame weakly symmetric algebras having only periodic modules. (English)
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    4 December 2003
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    Let \(K\) be an algebraically closed field. One of the main results of the paper is a classification, up to derived equivalence, of weakly symmetric finite-dimensional \(K\)-algebras \(A\) that have tame representation type, admit simply connected Galois coverings and all of whose indecomposable modules of finite dimension are periodic. A set of pairwise nonisomorphic representatives of the derived equivalence classes of these algebras is presented.
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    Auslander-Reiten quivers
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    periodic modules
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    Galois coverings
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    simply connected algebras
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    weakly symmetric algebras
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    derived equivalences
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    Cartan matrices
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