Geodesic
Approximations of Lie algebras
Matematičeskie zametki, Tome 12 (1972) no. 6, pp. 713-716 
Yu. A. Bakhturin. Approximations of Lie algebras. Matematičeskie zametki, Tome 12 (1972) no. 6, pp. 713-716. http://geodesic.mathdoc.fr/item/MZM_1972_12_6_a7/
@article{MZM_1972_12_6_a7,
     author = {Yu. A. Bakhturin},
     title = {Approximations of {Lie} algebras},
     journal = {Matemati\v{c}eskie zametki},
     pages = {713--716},
     year = {1972},
     volume = {12},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_6_a7/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that a finitely generated metabelian Lie algebra over an arbitrary field can be approximated by finite-dimensional algebras and a stronger result is also obtained over fields of nonzero characteristics.