A converse to the Second Whitehead Lemma
Rings and Algebras
2014-08-14 v5 K-Theory and Homology
Abstract
We show that finite-dimensional Lie algebras over a field of characteristic zero such that the second cohomology group in every finite-dimensional module vanishes, are, essentially, semisimple.
Cite
@article{arxiv.0704.3864,
title = {A converse to the Second Whitehead Lemma},
author = {Pasha Zusmanovich},
journal= {arXiv preprint arXiv:0704.3864},
year = {2014}
}