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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We prove that every super-biderivation of the N=2 superconformal algebra $\mathfrak{g}$ is inner, but the corresponding super-commuting maps are non-standard.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we first determine all the super-skewsymmetric super-biderivations of the N=2 superconformal algebra $\mathfrak{g}$.
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Key Findings & Data:As an application of super-biderivations, we give the explicit form of each linear super-commuting map on the N=2 superconformal algebra $\mathfrak{g}$.
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Conclusion & Impact:We prove that every super-biderivation of the N=2 superconformal algebra $\mathfrak{g}$ is inner, but the corresponding super-commuting maps are non-standard.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lie super-algebra · super-biderivation · super-skewsymmetric
Abstract
In this paper, we first determine all the super-skewsymmetric super-biderivations of the N=2 superconformal algebra $\mathfrak{g}$. As an application of super-biderivations, we give the explicit form of each linear super-commuting map on the N=2 superconformal algebra $\mathfrak{g}$. We prove that every super-biderivation of the N=2 superconformal algebra $\mathfrak{g}$ is inner, but the corresponding super-commuting maps are non-standard.
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Cite This Article
Cheng, X., Sun, J. (2022). Super-biderivations and linear super-commuting maps on the N=2 superconformal algebra. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 4, 985–995. https://ajindex.com/articles/529782