Bourbaki

Definition 3

Tag 09TP, permanent. Cite it as [Bourbaki, Tag 09TP].

Lie Groups and Lie Algebras, chapter I, § 1. Definition of Lie algebras

Two elements x, y of a Lie algebra are said to be permutable if [x, y] = 0. g is said to be commutative if any two of its elements are permutable.

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

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Cites

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Transcribed from the printed volume. Not translated.