Remark
Tag 0AXQ, permanent. Cite it as [Bourbaki, Tag 0AXQ].
Lie Groups and Lie Algebras, chapter VI, § 3. Exponential invariants
Since means that the maximal support of is non-empty, Lemma 2 shows that implies whenever admits a unique maximal term of the form .
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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