Bourbaki

Remark 1

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

Lie Groups and Lie Algebras, chapter IX, § 2. Maximal tori of compact Lie groups

Every integral subgroup H of G such that rk H = rk G is closed: indeed, the preceding proof shows that H is the identity component of its normalizer, which is a closed subgroup of G.

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.

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Cites

Nothing.

Transcribed from the printed volume. Not translated.