Bourbaki

Remark 3

Tag 06F2, permanent. Cite it as [Bourbaki, Tag 06F2].

Algebra, chapter IV, § 6. Symmetric functions

Given λ,μ\lambda, \mu in AA, we have

res⁡p,q(λf,μg)=λqμpres⁡p,q(f,g). \operatorname{res}_{p,q}(\lambda f, \mu g) = \lambda^q \mu^p \operatorname{res}_{p,q}(f, g) .
(28)

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 edition, 2003, Springer. Not translated.