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

In this paper, we first determine all the super-skewsymmetric super-biderivations of the N=2 superconformal algebra g. As an application of super-biderivations, we give the explicit form of each linear super-commuting map on the N=2 superconformal algebra g. We prove that every super-biderivation of the N=2 superconformal algebra g is inner, but the corresponding super-commuting maps are non-standard.