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. 
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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/

[1] Artamonov V. A., “Nilpotentnost, proektivnost, svoboda”, Vestn. Mosk. un-ta, 1971, no. 5, 34–37 | MR

[2] Artamonov V. A., “Poluprostye mnogoobraziya multioperatornykh algebr”, Rezyume soobschenii i dokladov XI Vsesoyuznogo algebraicheskogo kollokviuma, Kishinev, 1971, 112–113

[3] Shmelkin A. L., “Svobodnye polinilpotentnye gruppy”, Izv. AN SSSR. Ser. matem., 28 (1964), 91–122

[4] Bass H., “$K$-theory and stable algebra”, Publ. Math., 22 (1964), 5–60 | MR | Zbl

[5] Seshadri C. S., “Triviality of vector bundle over the affine space $K^2$”, Proc. Nat. Acad. Sci. USA, 44 (1958), 456–458 | DOI | MR | Zbl