Journal of Lie Theory 26 (2016), No. 3, 767--775
Copyright Heldermann Verlag 2016
Classification of Multiplicative Simple Hom-Lie Algebras
Xue Chen
School of Applied Mathematics, Xiamen University of Technology, No.600 Ligong Road, Xiamen 361024, P. R. China
chenxue@sjtu.edu.cn
Wei Han
Dept. of Mathematics, Shanghai Jiaotong University, No.800 Dongchuan Road, Shanghai 200240, P. R. China
hw163@hotmail.com
We first study the dimensions problem of simple Hom-Lie algebras. Then we classify finite dimensional multiplicative simple Hom-Lie algebras by investigating the corresponding semisimple Lie algebras.
Keywords: Hom-Lie algebra, simple, classification.
MSC: 17B40, 17B60
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