Universal central extensions and non-abelian tensor product of hom-Lie–Rinehart algebras
Volume 166 / 2021
Colloquium Mathematicum 166 (2021), 23-52
MSC: Primary 17A30; Secondary 17B55, 17B61.
DOI: 10.4064/cm8287-7-2020
Published online: 4 February 2021
Abstract
In this paper, we study universal central extensions and non-abelian tensor product of hom-Lie–Rinehart algebras. We discuss universal $\alpha $-central extensions, and the lifting of automorphisms and $\alpha $-derivations to central extensions of hom-Lie–Rinehart algebras. We deduce the lifting of automorphisms and $\alpha ^k$-derivations to the central extensions in the particular case of hom-Lie algebras.
