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On $\mathit{G}$-derivations of Lie–Yamaguti superalgebras
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UDC 512.5
Let $\mathit{G}$ be an automorphism group. We study $\mathit{G}$-derivations associated with the Lie–Yamaguti superalgebras. The concept of $\mathit{G}$-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 $\mathit{G}$-derivations, as well as with their relationship with other derivations of the Lie–Yamaguti superalgebras.
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Title: On $\mathit{G}$-derivations of Lie–Yamaguti superalgebras
Description:
UDC 512.
5
Let $\mathit{G}$ be an automorphism group.
We study $\mathit{G}$-derivations associated with the Lie–Yamaguti superalgebras.
The concept of $\mathit{G}$-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 $\mathit{G}$-derivations, as well as with their relationship with other derivations of the Lie–Yamaguti superalgebras.
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