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On tame weakly symmetric algebras having only periodic modules

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Abstract.

We classify (up to Morita equivalence) all tame weakly symmetric finite dimensional algebras over an algebraically closed field having simply connected Galois coverings, nonsingular Cartan matrices and the stable Auslander-Reiten quivers consisting only of tubes. In particular, we prove that these algebras have at most four simple modules.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Nicholas Copernicus University, Chopina 12/18, 87-100, Toruń, Poland

    J. Białkowski & A. Skowroński

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  1. J. Białkowski
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  2. A. Skowroński
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Received: 25 February 2002

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Białkowski, J., Skowroński, A. On tame weakly symmetric algebras having only periodic modules. Arch. Math. 81, 142–154 (2003). https://doi.org/10.1007/s00013-003-0816-y

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  • DOI: https://doi.org/10.1007/s00013-003-0816-y

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