Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 48 Issue: 4

Super-biderivations and linear super-commuting maps on the N=2 superconformal algebra

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Yayın Tarihi
2019-08-08
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we first determine all the super-skewsymmetric super-biderivations of the N=2 superconformal algebra $\mathfrak{g}$.
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Temel Bulgular & Veri: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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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

Cheng, X., Sun, J. (2019). Super-biderivations and linear super-commuting maps on the N=2 superconformal algebra. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 4. https://ajindex.com/articles/1402757

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Kaynakça (10)

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