Bourbaki

Example

Tag 0A4B, permanent. Cite it as [Bourbaki, Tag 0A4B].

Lie Groups and Lie Algebras, chapter II, § 3. Enveloping algebra of the free Lie algebra

We have

c(1)=n,c(2)=12(n2−n),c(3)=13(n3−n),c(4)=14(n4−n2),c(5)=15(n5−n),c(6)=16(n6−n3−n2+n). \begin{align*} c(1) &= n, & c(2) &= \frac{1}{2}(n^2 - n), & c(3) &= \frac{1}{3}(n^3 - n), \\ c(4) &= \frac{1}{4}(n^4 - n^2), & c(5) &= \frac{1}{5}(n^5 - n), & c(6) &= \frac{1}{6}(n^6 - n^3 - n^2 + n). \end{align*}

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

Cited by

Nothing.

Cites

Nothing.

Transcribed from the printed volume. Not translated.