2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167389In this paper we study the second Hochschild cohomology group ${HH}^2(Λ)$ of a finite dimensional algebra $Λ$. In particular, we determine ${HH}^2(Λ)$ where $Λ$ is a finite dimensional self-injective algebra of finite representation type over an algebraically closed field $K$ and show that this group is zero for most such $Λ$; we give a basis for ${HH}^2(Λ)$ in the few cases where it is not zero.Corrections to some calculationsRepresentation Theory16E40; 16G60text