End BigDprod.
Section Aut.
Variables (gT : finGroupType) (G : {group gT}).
Implicit Type u : {rmorphism algC -> algC}.

(* Specifications: *)
Lemma conjC_charAut u (chi : 'CF(G)) x :
chi \is a character -> (u (chi x))^* = u (chi x)^*.
Lemma conjC_irrAut u i x : (u ('chi[G]_i x))^* = u ('chi_i x)^*.
Lemma cfConjC_irr i : (('chi_i)^*)%CF \in irr G.
End Aut.