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arXiv · 1407.4341

On the Hochschild cohomology ring of the quaternion group of order eight in characteristic two

Alexander Ivanov·Sergei O. Ivanov·Yury Volkov·Guodong Zhou
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Abstract

Let $k$ be an algebraically closed field of characteristic two and let $Q_8$ be the quaternion group of order $8$. We determine the Gerstenhaber Lie algebra structure and the Batalin-Vilkovisky structure on the Hochschild cohomology ring of the group algebra $kQ_8$.

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Alexander Ivanov, Sergei O. Ivanov, Yury Volkov, Guodong Zhou. 2014-07-16. On the Hochschild cohomology ring of the quaternion group of order eight in characteristic two. https://arxiv.org/abs/1407.4341

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