Biderivations of finite dimensional complex simple Lie algebras

Preprint English OPEN
Tang, Xiaomin (2016)
  • Subject: Mathematics - Rings and Algebras | 17B05, 17B40, 17B65

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.
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