Korean J. Math. Vol. 30 No. 2 (2022) pp.363-373
DOI: https://doi.org/10.11568/kjm.2022.30.2.363

On Hom-Lie triple systems and involutions of Hom-Lie algebras

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Hamdiatou Yara
Patricia Zoungrana


 In this paper we mainly establish a relationship between involutions of multiplicative Hom-Lie algebras and Hom-Lie triple systems. We show that the $-1$-eigenspace of any involution on any multiplicative Hom-Lie algebra becomes a Hom-Lie triple system and we construct some examples of Hom-Lie triple systems using some involutions of some classical Hom-Lie algebras.

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