Hochschild cohomology for self-injective algebras of tree class $D_n$. II

The minimal projective bimodule resolution for certain family of representation-finite self-injective algebras of tree class $D_n$ is constructed. Dimensions of the groups of Hochschild cohomology for the algebras under consideration are calculated by the instrumentality of this resolution. The constructed resolution is periodic and accordingly the Hochschild cohomology for these algebras are periodic too. Bibl. – 12 titles.