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arXiv · 1706.10044

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

Rachel Taillefer
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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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Rachel Taillefer. 2018-05-29. First Hochschild cohomology group and stable equivalence classification of Morita type of some tame symmetric algebras. https://arxiv.org/abs/1706.10044

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