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

Year 2019, Volume: 48 Issue: 4, 985 - 995, 08.08.2019

Xiao Cheng Jiancai Sun

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

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