Super-biderivations and linear super-commuting maps on simple Lie superalgebras (2312.13854v1)

Abstract: Let L be a finite dimensional simple Lie superalgebra over an algebraically closed field of characteristic different from 2. In this paper, we prove that each skew-supersymmtric super-biderivation of L is inner. Furthermore, we prove that each linear super-commuting map on L is a scalar multiplication map.