有限生成无性群积分群环霍赫希尔德同调上的 BV-代数结构

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2024-07-26 DOI:10.1016/j.jpaa.2024.107781

Diego Duarte , Andrés Angel

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引用次数: 0

摘要

我们研究了有限生成无性群的群环的霍赫希尔德同调上的巴塔林-维尔科夫斯基代数结构。有限无穷群的 Batalin-Vilkovisky 代数结构源于有限群的群环是对称代数这一事实，而有限秩的自由无穷群的 Batalin-Vilkovisky 代数结构源于其群环是 Calabi-Yau 代数这一事实。

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A BV-algebra structure on Hochschild cohomology of the integral group ring of finitely generated Abelian groups

We study a Batalin-Vilkovisky algebra structure on the Hochschild cohomology of the group ring of finitely generated abelian groups. The Batalin-Vilkovisky algebra structure for finite abelian groups comes from the fact that the group ring of finite groups is a symmetric algebra, and the Batalin-Vilkovisky algebra structure for free abelian groups of finite rank comes from the fact that its group ring is a Calabi-Yau algebra.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.