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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

Wei Han
Dept. of Mathematics, Shanghai Jiaotong University, No.800 Dongchuan Road, Shanghai 200240, P. R. China

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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