Geodesic
A Converse to the Whitehead Theorem
Pasha Zusmanovich1
1Hlídarhjalli 62, Kópavogur 200, Iceland
Journal of Lie Theory, Tome 18 (2008) no. 4, pp. 811-815

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 17B56
Mots-clés : Whitehead theorem, cohomology groups of Lie algebras

Pasha Zusmanovich  1

1 Hlídarhjalli 62, Kópavogur 200, Iceland 
Pasha Zusmanovich. A Converse to the Whitehead Theorem. Journal of Lie Theory, Tome 18 (2008) no. 4, pp. 811-815. http://geodesic.mathdoc.fr/item/JOLT_2008_18_4_a3/
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