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arXiv · 0709.0986

Self-injective algebras and the second Hochschild cohomology group

Deena Al-Kadi
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Abstract

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.

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Deena Al-Kadi. 2008-08-22. Self-injective algebras and the second Hochschild cohomology group. https://arxiv.org/abs/0709.0986

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