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- W2962927447 abstract "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 sequence in cohomology. On the other hand, we study crossed modules of Hom-Lie algebras showing their equivalence with cat1-Hom-Lie algebras, and we introduce α-crossed modules to have a better understanding of the third cohomology group." @default.
- W2962927447 created "2019-07-30" @default.
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- W2962927447 date "2020-03-01" @default.
- W2962927447 modified "2023-10-02" @default.
- W2962927447 title "Abelian extensions and crossed modules of Hom-Lie algebras" @default.
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- W2962927447 doi "https://doi.org/10.1016/j.jpaa.2019.06.018" @default.
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