Super-biderivations and Linear Super-commuting Maps on the N 2 Superconformal Algebra

Abstract

In this paper, we first determine all the super-skewsymmetric superbiderivations of the N=2 superconformal algebra g. As an application of super-biderivations, we give the explicit form of each linear supercommuting 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.