TY - JOUR AU - Casas Mirás, José Manuel AU - García Martínez, Xabier PY - 2020 SN - 00224049 UR - http://hdl.handle.net/11093/7907 AB - In this paper we study the low dimensional cohomology groups of Hom-Lie algebras and their relation with derivations, abelian extensions and crossed modules. On one hand, we introduce the notion of α-abelian extensions and we obtain a five term exact... LA - eng PB - Journal of Pure and Applied Algebra TI - Abelian extensions and crossed modules of Hom-Lie algebras DO - 10.1016/j.jpaa.2019.06.018 ER -