arXiv subjects
Publications and source records attributed to Deena Al-Kadi.
In this paper we determine the second Hochschild cohomology group for a class of self-injective algebras of tame representation type namely, those which are standard one-parametric but not weakly symmetric. These were classifed up to derived equivalence by Bocian, Holm and Skowroński. We connect this to the deformation of these algebras.
In this paper we study the second Hochschild cohomology group of the preprojective algebra of type $D_4$ over an algebraically closed field $K$ of characteristic 2. We also calculate the second Hochschild cohomology group of a non-standard algebra which arises as a socle deformation of this preprojective algebra and so show that the two algebras are not derived equivalent. This answers a question raised by Holm and Skowroński.
In 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.