Bourbaki

Example 2

Tag 0AO1, permanent. Cite it as [Bourbaki, Tag 0AO1].

Lie Groups and Lie Algebras, chapter IV, § 2. Tits Systems

Let gg be a simple Lie algebra over C\mathbf{C}, and let GG be the group of inner automorphisms of gg (cf. Chap. III, § 6, no. 2, Prop. 2). By using Th. 5, one can show that GG is simple non-abelian.*

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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Cites

Transcribed from the printed volume. Not translated.