Biderivations of finite dimensional complex simple Lie algebras
Rings and Algebras
2016-12-20 v4
Abstract
In this paper, we prove that a biderivation of a finite dimensional complex simple Lie algebra without the restriction of skewsymmetric is inner. As an application, the biderivation of a general linear Lie algebra is presented. In particular, we find a class of a non-inner and non-skewsymmetric biderivations. Furthermore, we also get the forms of linear commuting maps on the finite dimensional complex simple Lie algebra or general linear Lie algebra.
Keywords
Cite
@article{arxiv.1610.03765,
title = {Biderivations of finite dimensional complex simple Lie algebras},
author = {Xiaomin Tang},
journal= {arXiv preprint arXiv:1610.03765},
year = {2016}
}