BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two

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Department of Algebra and Number Theory

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https://doi.org/10.1016/j.jalgebra.2015.04.004
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A. Ivanov
S.O. Ivanov
Y. Volkov
G. Zhou

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.

Original language	English
Pages (from-to)	174-203
Journal	Journal of Algebra
Volume	435
DOIs	https://doi.org/10.1016/j.jalgebra.2015.04.004
State	Published - 2015

Research areas

Batalin–Vilkovisky structure, Comparison morphism, Gerstenhaber Lie bracket, Hochschild cohomology, Quaternion group, Weak self-homotopy

ID: 3969618

BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two

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