Example 4
Tag 06EI, permanent. Cite it as [Bourbaki, Tag 06EI].
Algebra, chapter IV, § 6. Symmetric functions
By Example 3 of IV, p. 65, we have
M(3,0,0)=S(3,0,0)−3S(2,1,0)+3S(1,1,1)
for every integer n≥3, and so
M(3,0)=S(3,0)−3S(2,1)
for n=2.
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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