%0 Journal Article
%T Self-injective algebras and the second Hochschild cohomology group
%A Deena Al-Kadi
%J Mathematics
%D 2007
%I arXiv
%X In this paper we study the second Hochschild cohomology group ${HH}^2(\Lambda)$ of a finite dimensional algebra $\Lambda$. In particular, we determine ${HH}^2(\Lambda)$ where $\Lambda$ 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 $\Lambda$; we give a basis for ${HH}^2(\Lambda)$ in the few cases where it is not zero.
%U http://arxiv.org/abs/0709.0986v2