Geodesic
A Converse to the Whitehead Theorem
Journal of Lie theory, Tome 18 (2008) no. 4, pp. 811-815 Cet article a éte moissonné depuis la source Heldermann Verlag

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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 
@article{JLT_2008_18_4_JLT_2008_18_4_a3,
     author = {P. Zusmanovich },
     title = {A {Converse} to the {Whitehead} {Theorem}},
     journal = {Journal of Lie theory},
     pages = {811--815},
     year = {2008},
     volume = {18},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2008_18_4_JLT_2008_18_4_a3/}
}
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P. Zusmanovich . A Converse to the Whitehead Theorem. Journal of Lie theory, Tome 18 (2008) no. 4, pp. 811-815. http://geodesic.mathdoc.fr/item/JLT_2008_18_4_JLT_2008_18_4_a3/