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arXiv · 1610.03765

Biderivations of finite dimensional complex simple Lie algebras

Xiaomin Tang
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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.

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Xiaomin Tang. 2016-10-12. Biderivations of finite dimensional complex simple Lie algebras. https://arxiv.org/abs/1610.03765

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