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

Alexander Ivanov; Sergei O. Ivanov; Yury Volkov; Guodong Zhou

doi:10.1016/j.jalgebra.2015.04.004

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

Alexander Ivanov^*
, Sergei O. Ivanov
, Yury Volkov
, Guodong Zhou

^*此作品的通讯作者

数学科学学院

St. Petersburg State University

科研成果: 期刊稿件 › 文章 › 同行评审

14 引用（Scopus）

摘要

Let k be an algebraically closed field of characteristic two and let Q₈ 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 kQ₈.

源语言	英语
页（从-至）	174-203
页数	30
期刊	Journal of Algebra
卷	435
DOI	https://doi.org/10.1016/j.jalgebra.2015.04.004
出版状态	已出版 - 1 8月 2015

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10.1016/j.jalgebra.2015.04.004

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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 Q8 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 kQ8.",

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

author = "Alexander Ivanov and Ivanov, \{Sergei O.\} and Yury Volkov and Guodong Zhou",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

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day = "1",

doi = "10.1016/j.jalgebra.2015.04.004",

language = "英语",

volume = "435",

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journal = "Journal of Algebra",

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

AU - Ivanov, Alexander

AU - Ivanov, Sergei O.

AU - Volkov, Yury

AU - Zhou, Guodong

PY - 2015/8/1

Y1 - 2015/8/1

N2 - Let k be an algebraically closed field of characteristic two and let Q8 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 kQ8.

AB - Let k be an algebraically closed field of characteristic two and let Q8 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 kQ8.

KW - Batalin-Vilkovisky structure

KW - Comparison morphism

KW - Gerstenhaber Lie bracket

KW - Hochschild cohomology

KW - Quaternion group

KW - Weak self-homotopy

UR - https://www.scopus.com/pages/publications/84928248287

U2 - 10.1016/j.jalgebra.2015.04.004

DO - 10.1016/j.jalgebra.2015.04.004

M3 - 文章

AN - SCOPUS:84928248287

SN - 0021-8693

VL - 435

SP - 174

EP - 203

JO - Journal of Algebra

JF - Journal of Algebra

ER -

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

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