Bourbaki

Definition 1

Tag 0A1Q, permanent. Cite it as [Bourbaki, Tag 0A1Q].

Lie Groups and Lie Algebras, chapter II, § 1. Enveloping bigebra of a Lie algebra

An element xx of EE is called u-primitive if

(2)

c(x)=x⊗u+u⊗x. c(x) = x \otimes u + u \otimes x.

The uu-primitive elements of EE form a submodule of EE, denoted by Pu(E)P_u(E).

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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Cites

Nothing.

Transcribed from the printed volume. Not translated.