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

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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