Hochschild Cohomology for Algebras of Semidihedral Type. VI. The Family \( SD{\left(2\mathrm{\mathcal{B}}\right)}_2 \) in Characteristic Different from 2

Abstract

The Hochschild cohomology groups for algebras of semidihedral type that lie in the family \( SD{\left(2\mathrm{\mathcal{B}}\right)}_2 \) (in the famous K.Erdmann’s classification) over an algebraically closed field with characteristic different from two are computed. The calculation, relies upon the minimal projective bimodule resolution for algebras from the above family that was constructed in the previous author’s paper.