Geodesic
Classification of Multiplicative Simple Hom-Lie Algebras
Xue Chen1 ; Wei Han2
1School of Applied Mathematics, Xiamen University of Technology, No.600 Ligong Road, Xiamen 361024, P. R. China
2Dept. of Mathematics, Shanghai Jiaotong University, No.800 Dongchuan Road, Shanghai 200240, P. R. China
Journal of Lie Theory, Tome 26 (2016) no. 3, pp. 767-775

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 17B40, 17B60
Mots-clés : Hom-Lie algebra, simple, classification

Xue Chen  1   ; Wei Han  2

1 School of Applied Mathematics, Xiamen University of Technology, No.600 Ligong Road, Xiamen 361024, P. R. China
2 Dept. of Mathematics, Shanghai Jiaotong University, No.800 Dongchuan Road, Shanghai 200240, P. R. China 
Xue Chen; Wei Han. Classification of Multiplicative Simple Hom-Lie Algebras. Journal of Lie Theory, Tome 26 (2016) no. 3, pp. 767-775. http://geodesic.mathdoc.fr/item/JOLT_2016_26_3_a9/
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     author = {Xue Chen and Wei Han},
     title = {Classification of {Multiplicative} {Simple} {Hom-Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {767--775},
     year = {2016},
     volume = {26},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2016_26_3_a9/}
}
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