Geodesic
Projective metabelian Lie algebras of finite rank
Izvestiya. Mathematics, Tome 6 (1972) no. 3, pp. 504-517 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     year = {1972},
     volume = {6},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a3/}
}
TY  - JOUR
AU  - V. A. Artamonov
TI  - Projective metabelian Lie algebras of finite rank
JO  - Izvestiya. Mathematics
PY  - 1972
SP  - 504
EP  - 517
VL  - 6
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a3/
LA  - en
ID  - IM2_1972_6_3_a3
ER  - 
%0 Journal Article
%A V. A. Artamonov
%T Projective metabelian Lie algebras of finite rank
%J Izvestiya. Mathematics
%D 1972
%P 504-517
%V 6
%N 3
%U http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a3/
%G en
%F IM2_1972_6_3_a3
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