Classifying tame blocks and related algebras up to stable equivalences of Morita type |
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| Authors: | Guodong Zhou |
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| Institution: | a Ecole Polytechnique Fédérale de Lausanne, SB/MATHGEOM/CTG, Bâtiment MA B3 424, CH-1015, Lausanne, Switzerlandb Université de Picardie, Département de Mathématiques et LAMFA (UMR 6140 du CNRS), 33 rue St Leu, F-80039 Amiens Cedex 1, France |
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| Abstract: | We contribute to the classification of finite dimensional algebras under stable equivalence of Morita type. More precisely we give a classification of Erdmann’s algebras of dihedral, semi-dihedral and quaternion type and obtain as byproduct the validity of the Auslander-Reiten conjecture for stable equivalences of Morita type between two algebras, one of which is of dihedral, semi-dihedral or quaternion type. |
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| Keywords: | 16E40 20C05 16G60 |
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