Remark

Tag 00T6, permanent. Cite it as [Bourbaki, Tag 00T6].

Lie Groups and Lie Algebras, chapter VII, § 1. Primary decomposition of linear representations

The commutant of $\mathfrak{m}$ in $\mathfrak{g}$ does not necessarily reduce to $\mathfrak{a}$ , cf. Exerc. 4.

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

Cited by

Nothing.

Cites

Exerc. 4