A non-abelian tensor product of algebras with bracket

Year 2025, Volume: 54 Issue: 4, 1395 - 1409, 29.08.2025

José Manuel Casas , Emzar Khmaladze , Manuel Ladra

https://doi.org/10.15672/hujms.1535583

Abstract

We introduce and study a non-abelian tensor product of two algebras with bracket with compatible actions on each other. We investigate its applications to the universal central extensions and the low-dimensional homology of perfect algebras with bracket.

Keywords

algebras with bracket , associative algebras , non-abelian tensor product , crossed modules , Hochschild homology

Project Number

PID2020-115155GB-I00, FR-23-271 and ED431C 2023/31

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