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The ordinary quivers of Hochschild extension algebras for self-injective Nakayama algebras (1707.01618v1)
Published 6 Jul 2017 in math.RA and math.RT
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.