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

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

2010-05-03

arxiv.org/abs/1005.0222v1

Mathematics

Representation Theory

Scientific paper

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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