Bourbaki

Remark 1

Tag 0184, permanent. Cite it as [Bourbaki, Tag 0184].

Lie Groups and Lie Algebras, chapter VIII, § 12. Chevalley orders

Let B be a basis of R. A lattice H\mathscr{H} in h\mathfrak{h} is permissible if and only if Hα∈HH_{\alpha}\in \mathscr{H} and α(H)⊂Z\alpha (\mathscr{H})\subset \mathbf{Z} for all α∈B\alpha \in B.

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.