Bourbaki

Example 1

Tag 00U4, permanent. Cite it as [Bourbaki, Tag 00U4].

Lie Groups and Lie Algebras, chapter VII, § 2. Cartan subalgebras and regular elements of a Lie algebra

If g\mathfrak{g} is nilpotent, rk(g\mathfrak{g}) == dimg\mathfrak{g} and all elements of g\mathfrak{g} are regular.

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

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Transcribed from the printed volume. Not translated.