On $\mathit{G}$-derivations of Lie–Yamaguti superalgebras
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 st...
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| Date: | 2026 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8857 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | 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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| DOI: | 10.3842/umzh.v77i9.8857 |