Remark 2

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

Lie Groups and Lie Algebras, chapter IX, § 5. Conjugacy classes

The restriction of $\varphi_A$ to $W\times A\subset (G/T)\times A$ makes $W\times A$ a principal covering of $T_r$ with group $H_A$ . We thus recover Cor. 1 of Prop. 2 of no. 2.

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

Cor. 1 of Prop. 2