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

We construct the minimal projective bimodule resolution for certain family of representation-finite self-injective algebras of tree class $D_n$. Using this resolution, we calculate dimensions of the Hochschild cohomology groups for these algebras. The above resolution and accordingly the Hochschild cohomology for these algebras are periodic.