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

Guodong Zhou (1) , Alexander Zimmermann (2)

1 University of Paderborn
2 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée

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.

Domaines: Théorie des représentations [math.RT]

Guodong Zhou, Alexander Zimmermann. Classifying tame blocks and related algebras up to stable equivalences of Morita type. Journal of Pure and Applied Algebra, 2011, 215 (12), pp.2969-2986. ⟨hal-00479843⟩