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Rafa? Bocian, Andrzej Skowro?ski

Weakly symmetric algebras of Euclidean type

A finite dimensional algebra A over an algebraically closed field is called a selfinjective algebra of Euclidean type if A is the orbit algebra B??G, where B? is the repetitive algebra of a tilted algebra B of Euclidean type and G is an admissible group of automorphisms of B?. 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.

Journal fur die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter

Print ISSN: 0075-4102
Volume: 2005, 03/2005
Pages: 157 - 199

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