# Biderivations of finite-dimensional complex simple Lie algebras

@article{Tang2016BiderivationsOF, title={Biderivations of finite-dimensional complex simple Lie algebras}, author={X. Tang}, journal={Linear and Multilinear Algebra}, year={2016}, volume={66}, pages={250 - 259} }

In this paper, we prove that a biderivation of a finite-dimensional complex simple Lie algebra without the restriction of being skewsymmetric is an inner biderivation. 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 obtain the forms of the linear commuting maps on the finite-dimensional complex simple Lie algebra or general linear Lie algebra.Â

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