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arXiv · 1707.01618

The ordinary quivers of Hochschild extension algebras for self-injective Nakayama algebras

Hideyuki Koie·Tomohiro Itagaki·Katsunori Sanada
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Abstract

Let $T$ be a Hochschild extension algebra of a finite dimensional algebra $A$ over a field $K$ by the standard duality $A$-bimodule ${\rm Hom}_K(A,\,K)$. In this paper, we determine the ordinary quiver of $T$ if $A$ is a self-injective Nakayama algebra by means of the $\mathbb{N}$-graded second Hochschild homology group $HH_2(A)$ in the sense of Sk\"oldberg.

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Hideyuki Koie, Tomohiro Itagaki, Katsunori Sanada. 2017-07-06. The ordinary quivers of Hochschild extension algebras for self-injective Nakayama algebras. https://arxiv.org/abs/1707.01618

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