Biderivations of finite dimensional complex simple Lie algebras

19 Dec 2016  ·  Tang Xiaomin ·

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. read more

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  • RINGS AND ALGEBRAS

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Rings and Algebras