Geodesic
A Remark on the Proof of a Theorem of Laufer and Tomber
Canadian journal of mathematics, Tome 23 (1971) no. 2, p. 270

Voir la notice de l'article provenant de la source Cambridge University Press

In this note we give a correction to the proof of the following theorem [1, Theorem 2].THEOREM. Letbe a flexible, power-associative algebra, over an arbitrary algebraically closed field Ω of characteristic 0. If is a simple Lie algebra, thenis a simple Lie algebra isomorphic to.Step (i) of the proof, which proves that the Cartan subalgebra of is a nil subalgebra of , is incomplete. Assuming that is not a nil subalgebra of , there exists an idempotent e ≠ 0 in . 
Myung, Hyo Chul. A Remark on the Proof of a Theorem of Laufer and Tomber. Canadian journal of mathematics, Tome 23 (1971) no. 2, p. 270. doi: 10.4153/CJM-1971-026-1
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[1] 1. Laufer, P. J. and Tomber, M. L., Some Lie admissible algebras, Can. J. Math. 14 (1962), 287–292. Google Scholar

[2] 2. Oehmke, R. H., On flexible algebras, Ann. of Math. (2) 68 (1958), 221–230. Google Scholar

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