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BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two. / Ivanov, A.; Ivanov, S.O.; Volkov, Y.; Zhou, G.

в: Journal of Algebra, Том 435, 2015, стр. 174-203.

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@article{e552e5ada4a44205bbc000669f7cbcae,
title = "BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two",
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.",
keywords = "Batalin–Vilkovisky structure, Comparison morphism, Gerstenhaber Lie bracket, Hochschild cohomology, Quaternion group, Weak self-homotopy",
author = "A. Ivanov and S.O. Ivanov and Y. Volkov and G. Zhou",
year = "2015",
doi = "10.1016/j.jalgebra.2015.04.004",
language = "English",
volume = "435",
pages = "174--203",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two

AU - Ivanov, A.

AU - Ivanov, S.O.

AU - Volkov, Y.

AU - Zhou, G.

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Batalin–Vilkovisky structure

KW - Comparison morphism

KW - Gerstenhaber Lie bracket

KW - Hochschild cohomology

KW - Quaternion group

KW - Weak self-homotopy

U2 - 10.1016/j.jalgebra.2015.04.004

DO - 10.1016/j.jalgebra.2015.04.004

M3 - Article

VL - 435

SP - 174

EP - 203

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

ID: 3969618