First Hochschild cohomology group and stable equivalence classification of Morita type of some tame symmetric algebras

2017/06/30 by Taillefer, Rachel
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1706.10044

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.

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