Hochschild cohomology of algebras of dihedral type. II. Local algebras

For local algebras which constitute a family of algebras of dihedral type, we calculate the Hochschild cohomology in the case where the base algebraically closed field has a characteristic different from 2. Furthermore, we give a description of the Hochschild cohomology algebra (in terms of generators and relations) for the local algebras under consideration. We use in the corresponding calculation a beforehand constructed bimodule resolution for these algebras. Bibl. – 19 titles.