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}
}
  • X. Tang
  • Published 2016
  • Mathematics
  • Linear and Multilinear Algebra
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. 

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