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

Abstract

For local algebras that constitute a family of algebras of dihedral type, the Hochschild cohomology is calculated in the case where the base algebraically closed field has a characteristic different from 2. Furthermore, a description of the Hochschild cohomology algebra (in terms of generators and relations) is given for the local algebras under consideration. In relevant calculations, a beforehand constructed bimodule resolution for these algebras is used. Bibliography: 19 titles.