Geodesic
First Hochschild cohomology group and stable equivalence classification of Morita type of some tame symmetric algebras
Homology, homotopy, and applications, Tome 21 (2019) no. 1, pp. 19-48.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2019.v21.n1.a2
Classification : 16D90, 16E40, 16G99, 17B60
Keywords: stable equivalence of Morita type, algebras of dihedral, semi-dihedral and quaternion type, first Hochschild cohomology group, Lie algebra 
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     title = {First {Hochschild} cohomology group and stable equivalence classification of {Morita} type of some tame symmetric algebras},
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     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n1.a2/}
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Rachel Taillefer. First Hochschild cohomology group and stable equivalence classification of Morita type of some tame symmetric algebras. Homology, homotopy, and applications, Tome 21 (2019) no. 1, pp. 19-48. doi : 10.4310/HHA.2019.v21.n1.a2. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n1.a2/

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