Bourbaki

Remark 3

Tag 0ANZ, permanent. Cite it as [Bourbaki, Tag 0ANZ].

Lie Groups and Lie Algebras, chapter IV, § 2. Tits Systems

Assumption (3) is implied by the following condition:

(3') U is generated by the commutators b^{-1} u^{-1} b u with u \in U and b \in B \cap G_1.

Bourbaki puts the proof directly after the statement, 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.