The paper attempts to prove Pirashvili's conjecture by showing a nonsemisimple Lie algebra with vanishing Leibniz homology must have nonzero first adjoint cohomology, but the proof relies on a lemma the authors themselves flag as incorrect.
Carles: Sur la structure des alg` ebres de Lie rigides
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Sympathetic Lie algebras and adjoint cohomology for Lie algebras
The paper attempts to prove Pirashvili's conjecture by showing a nonsemisimple Lie algebra with vanishing Leibniz homology must have nonzero first adjoint cohomology, but the proof relies on a lemma the authors themselves flag as incorrect.