Remark

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

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

Call an element $g$ of G very regular if $Z(g)$ is a maximal torus of G. If $g\in T,g$ is very regular if and only if $w(g)\not=g$ for every non-identity element $w$ of $W_G(T) ($ §4, no. 7, Prop. 14). Thus, the set of very regular elements is a dense open subset of G (§2, no. 5, Cor. 2 of Prop. 5).

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

§2, no. 5, Cor. 2 of Prop. 5
§4, no. 7, Prop. 14