A converse to the Whitehead Theorem

Details A converse to the Whitehead Theorem A converse to the Whitehead Theorem

2008-08-01

arxiv.org/abs/0808.0212v3

J. Lie Theory 18 (2008), 811-815

Mathematics

Rings and Algebras

AMS-LaTeX; v3: fixed a typo

Scientific paper

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.

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