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arXiv · 1404.2032

On Hochschild cohomology of a self-injective special biserial algebra obtained by a circular quiver with double arrows

Ayako Itaba
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Abstract

We calculate the dimensions of the Hochschild cohomology groups of a self-injective special biserial algebra $\Lambda_{s}$ obtained by a circular quiver with double arrows. Moreover, we give a presentation of the Hochschild cohomology ring modulo nilpotence of $\Lambda_{s}$ by generators and relations. This result shows that the Hochschild cohomology ring modulo nilpotence of $\Lambda_{s}$ is finitely generated as an algebra.

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BibTeXRIS

Ayako Itaba. 2014-04-08. On Hochschild cohomology of a self-injective special biserial algebra obtained by a circular quiver with double arrows. https://doi.org/10.1080/00927872.2014.982815

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