On tame weakly symmetric algebras having only periodic modules

Springer Science and Business Media LLC - Tập 81 - Trang 142-154 - 2003
J. Białkowski1, A. Skowroński1
1Faculty of Mathematics and Computer Science, Nicholas Copernicus University, Toruń, Poland

Tóm tắt

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.