Hochschild cohomology of algebras of quaternion type. The family $Q(2\mathcal B)_1$ in characteristic 3

In the present paper, the Hochschild cohomology is investigated for algebras of quaternion type from the family $Q(2\mathcal B)_1$ over an algebraically closed field of characteristic 3. Using previously constructed 4-periodic bimodule resolution, we describe Hochschild cohomology algebra of the above algebras in terms of generators and relations.