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

Authors : Xiao CHENG, Jiancai SUN

Pages : 985-995

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Publication Date : 2019-08-08

Article Type : Research Paper

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.
Keywords : Lie super algebra, super biderivation, super skewsymmetric, linear super commuting map