Geodesic
Projective modules over universal enveloping algebras
Izvestiya. Mathematics , Tome 25 (1985) no. 3, pp. 429-441

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Under certain assumptions it is proved that finitely generated projective modules over nilpotent Lie algebras are free. The proof of the main result uses a generalization to graded algebras of Quillen's localization principle and a theorem of Horrocks. Bibliography: 10 titles. 
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     author = {V. A. Artamonov},
     title = {Projective modules over universal enveloping algebras},
     journal = {Izvestiya. Mathematics },
     pages = {429--441},
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     volume = {25},
     number = {3},
     year = {1985},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1985_25_3_a0/}
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V. A. Artamonov. Projective modules over universal enveloping algebras. Izvestiya. Mathematics , Tome 25 (1985) no. 3, pp. 429-441. http://geodesic.mathdoc.fr/item/IM2_1985_25_3_a0/