Classifying tame blocks and related algebras up to stable equivalences of Morita type

2010/05/03 by Zhou, Guodong, Zimmermann, Alexander
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1005.0222

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.

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