• Title/Summary/Keyword: Hom-Lie triple systems

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ON HOM-LIE TRIPLE SYSTEMS AND INVOLUTIONS OF HOM-LIE ALGEBRAS

  • Yara, Hamdiatou;Zoungrana, Patricia L.
    • Korean Journal of Mathematics
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    • v.30 no.2
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    • pp.363-373
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    • 2022
  • 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.