Biderivations of finite-dimensional complex simple Lie algebras

By Xiaomin Tang. 2016

69 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9abdf2bb2b5980c2df190746cd1809e463575593

Citations in the corpus

• Biderivations and Commuting Linear Maps on Lie Algebras (2018, unknown): “An interest in studying these maps on Lie algebras has grown more recently [6, 11, 9, 10, 12, 13, 14].”