Abstract

The present paper is devoted to studying 2-local superderivations on the super Virasoro algebra and the super $\mathrm{W}(2,2)$ algebra. It is proved that all 2-local superderivations on the super Virasoro algebra as well as the super $\mathrm{W}(2,2)$ algebra are (global) superderivations.

中文翻译：

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2-超级 Virasoro 代数和超级 W(2,2) 代数的局部超导

摘要

本论文致力于研究超级 Virasoro 代数和超级代数的 2-局部超导 $\mathrm{宽}(2,2)$代数。证明了超 Virasoro 代数上的所有 2-局部超导以及超$\mathrm{宽}(2,2)$ 代数是（全局）超导数。