Geodesic
Projective metabelian Lie algebras of finite rank
Izvestiya. Mathematics , Tome 6 (1972) no. 3, pp. 504-517

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In this paper we study the connection between free projective metabelian Lie algebras of finite rank and Serre's problem. We prove that projective metabelian Lie algebras of rank two are free. 
@article{IM2_1972_6_3_a3,
     author = {V. A. Artamonov},
     title = {Projective metabelian {Lie} algebras of finite rank},
     journal = {Izvestiya. Mathematics },
     pages = {504--517},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a3/}
}
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V. A. Artamonov. Projective metabelian Lie algebras of finite rank. Izvestiya. Mathematics , Tome 6 (1972) no. 3, pp. 504-517. http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a3/