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Classifying tame blocks and related algebras up to stable equivalences of Morita type (1005.0222v1)
Published 3 May 2010 in math.RT
Abstract: We contribute to the classification of finite dimensional algebras under stable equivalence of Morita type. More precisely we give a classification of the class of Erdmann's algebras of dihedral, semi-dihedral and quaternion type and obtain as byproduct the validity of the Auslander-Reiten conjecture for these classes of algebras.