Bourbaki

Exercise 8, § 11

Tag 01K1, permanent. Cite it as [Bourbaki, Tag 01K1].

Lie Groups and Lie Algebras, VIII, 262

A semi-simple Lie algebra has an sl2\mathfrak{sl}_2-triplet if and only if it is ≠0\neq0 and has a Borel subalgebra.

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Transcribed from the printed volume. Not translated.