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Abstract
A finite dimensional algebra A over an algebraically closed field is called a selfinjective algebra of Euclidean type if A is the orbit algebra B̂∣G, where B̂ is the repetitive algebra of a tilted algebra B of Euclidean type and G is an admissible group of automorphisms of B̂. It is known that the class of selfinjective algebras of Euclidean type coincides with the class of tame selfinjective algebras having simply connected Galois coverings and a finite (nonempty) family of generic modules. We classify all weakly symmetric algebras of Euclidean type.
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Published Online: 2005-07-27
Published in Print: 2005-03-08
© Walter de Gruyter
