Mathematica Eterna
Open Access

Abstract

Super-biderivations of the super Virasoro algebra

Jinsen Zhou and Guangzhe Fan

In this paper we investigate super-biderivations of the super Virasoro algebra. The super Virasoro algebra is a Lie superalgebra equipped with a basis {Lm, Im, Gm | m ∈ Z} and nontrivial Lie super-brackets: [Lm, Ln] = (n − m)Lm+n, [Lm, In] = nIm+n, [Lm, Gn] = (n − m)Gm+n, [Im, Gn] = Gm+n. Finally, we prove that all skew-supersymmetric super-biderivations of the super Virasoro algebra are inner super-biderivations.