@article{Casas2022OnTC,
title={On the Capability of Hom-Lie Algebras},
author={Jos{\'e} Manuel Casas and Xabier Garc'ia-Mart'inez},
journal={Mediterranean Journal of Mathematics},
year={2022}
}

A Hom-Lie algebra pL, αLq is said to be capable if there exists a Hom-Lie algebra pH,αH q such that L – H{ZpHq. We obtain a characterisation of capable Hom-Lie algebras involving its epicentre and we use this theory to further study the six-term exact sequence in homology and to obtain a Hopf-type formulae of the second homology of perfect Hom-Lie algebras.

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