A BV-algebra Structure on Hochschild Cohomology of the Group Ring of Finitely Generated Abelian Groups

2017/04/10 by Angel, Andrés, Duarte, Diego
#16E40 #16S34 #55U25 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1704.03075

Abstract

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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