This article is cited in 7 papers

Projective modules over universal enveloping algebras

V. A. Artamonov


Abstract: 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.

UDC: 512

MSC: Primary 16A50, 17B35; Secondary 18F25

Received: 16.06.1983
Revised: 17.11.1983

 English version: Mathematics of the USSR-Izvestiya, 1985, 25:3, 429–441

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