Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
 


Journal of Lie Theory 18 (2008), No. 4, 811--815
Copyright Heldermann Verlag 2008



A Converse to the Whitehead Theorem

Pasha Zusmanovich
Hlídarhjalli 62, Kópavogur 200, Iceland
justpasha@gmail.com



In this postscript to our earlier note [ J. Lie Theory 18 (2008) 295--299] we show that finite-dimensional Lie algebras over a field of characteristic zero such that their high-degree cohomology in any finite-dimensional non-trivial irreducible module vanishes, are, essentially, direct sums of semisimple and nilpotent algebras.

Keywords: Whitehead theorem, cohomology groups of Lie algebras.

MSC: 17B56

[ Fulltext-pdf  (117  KB)] for subscribers only.