Super-biderivations and linear super-commuting maps on simple Lie superalgebras
Rings and Algebras
2023-12-22 v1
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.
Keywords
Cite
@article{arxiv.2312.13854,
title = {Super-biderivations and linear super-commuting maps on simple Lie superalgebras},
author = {Da Xu and Qiyuan Wang and Xiaoning Xu},
journal= {arXiv preprint arXiv:2312.13854},
year = {2023}
}