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First Hochschild cohomology group and stable equivalence classification of Morita type of some tame symmetric algebras (1706.10044v2)
Published 30 Jun 2017 in math.RT
Abstract: We use the dimension and the Lie algebra structure of the first Hochschild cohomology group to distinguish some algebras of dihedral, semi-dihedral and quaternion type up to stable equivalence of Morita type. In particular, we complete the classification of algebras of dihedral type that was mostly determined by Zhou and Zimmermann.