Bourbaki

Example 1

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

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

If g\mathfrak{g} is nilpotent, the only Cartan subalgebra of g\mathfrak{g} is g\mathfrak{g} itself (Chap. I, §4, no. 1, Prop. 3).

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

Cites

  • Chap. I, §4, no. 1, Prop. 3 not in this corpus
Transcribed from the printed volume. Not translated.