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<p>Let <i>G</i> be an automorphism group. We study <i>G</i>-derivations associated with the Lie–Yamaguti superalgebras. The concept of <i>G</i>-derivation, which is a derivation under both bilinear and trilinear operations is defined for the Lie–Yamaguti superalgebras. We also study some important properties of <i>G</i>-derivations, as well as with their relationship with other derivations of the Lie–Yamaguti superalgebras.</p>

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On G-Derivations of Lie–Yamaguti Superalgebras

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • Meher Abdaoui,
  • Jamel Boujelben

摘要

Let G be an automorphism group. We study G-derivations associated with the Lie–Yamaguti superalgebras. The concept of G-derivation, which is a derivation under both bilinear and trilinear operations is defined for the Lie–Yamaguti superalgebras. We also study some important properties of G-derivations, as well as with their relationship with other derivations of the Lie–Yamaguti superalgebras.