Bourbaki

Remark

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

Algebra, chapter IX, § 1. Formes sesquilinéaires

When sΦs_{\Phi} is bijective, every homomorphism ν\nu of FF into F′F' admits an everywhere defined right adjoint, and one has

(34)(34)
ν∗=(sΦ)−1∘tν∘sΦ′.\nu^* = (s_{\Phi})^{-1} \circ {}^t \nu \circ s_{\Phi'}.

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

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