A non-abelian tensor product of algebras with bracket

Year 2025, Early Access, 1 - 15

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

References

• [5] J M. Casas, On solvability and nilpotency of algebras with bracket, J. Korean Math. Soc. 54 (2), 647–662, 2017.