The Batalin-Vilkovisky structure over the Hochschild cohomology ring of a group algebra

Yuming Liu; Guodong Zhou

doi:10.4171/JNCG/249

The Batalin-Vilkovisky structure over the Hochschild cohomology ring of a group algebra

Yuming Liu
, Guodong Zhou

数学科学学院

Beijing Normal University
BCMIIS

科研成果: 期刊稿件 › 文章 › 同行评审

11 引用（Scopus）

摘要

We realize explicitly the well-known additive decomposition of the Hochschild cohomology ring of a group algebra at the chain level. As a result, we describe the cup product, the Batalin-Vilkovisky operator and the Lie bracket in the Hochschild cohomology ring of a group algebra.

源语言	英语
页（从-至）	811-858
页数	48
期刊	Journal of Noncommutative Geometry
卷	10
期	3
DOI	https://doi.org/10.4171/JNCG/249
出版状态	已出版 - 2016

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10.4171/JNCG/249

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title = "The Batalin-Vilkovisky structure over the Hochschild cohomology ring of a group algebra",

abstract = "We realize explicitly the well-known additive decomposition of the Hochschild cohomology ring of a group algebra at the chain level. As a result, we describe the cup product, the Batalin-Vilkovisky operator and the Lie bracket in the Hochschild cohomology ring of a group algebra.",

keywords = "Additive decomposition, Batalin-Vilkovisky structure, Cup product, Group cohomology, Hochschild Cohomology Ring, Normalized Bar Resolution, Setwise Self-Homotopy",

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AU - Liu, Yuming

AU - Zhou, Guodong

N1 - Publisher Copyright: © European Mathematical Society.

PY - 2016

Y1 - 2016

N2 - We realize explicitly the well-known additive decomposition of the Hochschild cohomology ring of a group algebra at the chain level. As a result, we describe the cup product, the Batalin-Vilkovisky operator and the Lie bracket in the Hochschild cohomology ring of a group algebra.

AB - We realize explicitly the well-known additive decomposition of the Hochschild cohomology ring of a group algebra at the chain level. As a result, we describe the cup product, the Batalin-Vilkovisky operator and the Lie bracket in the Hochschild cohomology ring of a group algebra.

KW - Additive decomposition

KW - Batalin-Vilkovisky structure

KW - Cup product

KW - Group cohomology

KW - Hochschild Cohomology Ring

KW - Normalized Bar Resolution

KW - Setwise Self-Homotopy

UR - https://www.scopus.com/pages/publications/84989306780

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DO - 10.4171/JNCG/249

M3 - 文章

AN - SCOPUS:84989306780

SN - 1661-6952

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JO - Journal of Noncommutative Geometry

JF - Journal of Noncommutative Geometry

IS - 3

ER -

The Batalin-Vilkovisky structure over the Hochschild cohomology ring of a group algebra

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