Bourbaki

Corollary

Tag 068G, permanent. Cite it as [Bourbaki, Tag 068G].

Algebra, chapter III, § 11. Cogebras, products of multilinear forms, inner products and duality

For every automorphism g of E,

(80)(80)
Λ(tg−1)=(det⁡g)−1ϕ∘(Λ(g))∘ϕ−1.\Lambda^{(tg^{-1})} = (\det g)^{-1}\phi \circ (\Lambda(g)) \circ \phi^{-1}.

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

Cited by

Cites

Nothing.

Transcribed from the printed edition, 1998, Springer. Not translated.