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arXiv · 2603.04834

The Hochschild cohomlogy ring of a self-injective Nakayama algebra is a Batalin-Vilkovisky algebra

Xiuli Bian·Tomohiro Itagaki·Wen Kou·Weiguo Lyu·Guodong Zhou
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Abstract

Lambre, Zhou and Zimmermann showed that the Hochschild cohomology ring of a Frobenius algebra with semisimple Nakayama automorphism is a Batalin-Vilkovisky algebra. They asked whether the semisimplicity condition is necessary. In this paper, we show that for a self-injective Nakayama algebra, the Hochschild cohomology ring is always a Batalin-Vilkovisky algebra. In course of proofs, we correct some inaccuracies in the literature, hoping not to introduce new errors.

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Xiuli Bian, Tomohiro Itagaki, Wen Kou, Weiguo Lyu, Guodong Zhou. 2026-03-05. The Hochschild cohomlogy ring of a self-injective Nakayama algebra is a Batalin-Vilkovisky algebra. https://arxiv.org/abs/2603.04834

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