A non-abelian tensor product of algebras with bracket

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

References

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