Hochschild Cohomology of Algebras of Semidihedral Type. V. The Family \( SD\left(3\mathcal{K}\right) \)

Resumo

The Hochschild cohomology groups are calculated for the algebras of semidihedral type that form the family \( SD\left(3\mathcal{K}\right) \) (from the famous K. Erdmann’s classification). In the calculation, the bimodule resolution previously constructed for the algebras belonging to the family under discussion is used.