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• W4366999034 abstract "We study the double derivation algebra $mathcal{D}(mathcal{L})$ of $n-$Hom Lie color algebra $mathcal{L}$ and describe the relation between $mathcal{D}(mathcal{L})$ and the usual derivation Hom-Lie color algebra $Der(mathcal{L}).$ We prove that the inner derivation algebra $Inn(mathcal{L})$ is an ideal of the double derivation algebra $mathcal{D}(mathcal{L}).$ We also show that if $mathcal{L}$ is a perfect $n-$Hom Lie color algebra with certain constraints on the base field, then the centralizer of $Inn(mathcal{L})$ in $mathcal{D}(mathcal{L})$ is trivial. In addition, we obtain that for every centerless perfect $n-$Hom Lie color algebra $mathcal{L}$, the triple derivations of the derivation algebra $Der(mathcal{L})$ are exactly the derivations of $Der(mathcal{L}).$" @default.
• W4366999034 created "2023-04-27" @default.
• W4366999034 creator A5035582549 @default.
• W4366999034 date "2021-10-12" @default.
• W4366999034 modified "2023-09-26" @default.
• W4366999034 title "Double derivations of $n-$Hom-Lie color algebras" @default.
• W4366999034 doi "https://doi.org/10.48550/arxiv.2110.05844" @default.
• W4366999034 hasPublicationYear "2021" @default.
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