proposition: Corollary Murnaghan_NakayamaCT n (la mu : 'P_n) : 'irrSG[la] (permCT mu) = (MN_coeff la mu)%:~R.
proof: Proof. by rewrite Murnaghan_Nakayama_char cycle_typeSn_permCT. Qed.
imports: HB(structures) mathcomp(all_ssreflect) mathcomp(fingroup perm morphism gproduct) mathcomp(rat ssralg ssrint ssrnum algC vector archimedean) mathcomp(mxrepresentation classfun character) mathcomp(mpoly) sorted ordtype tools partition antisym sympoly homogsym Cauchy Schur_altdef stdtab therule permcomp cycletype towerSn permcent reprSn unitriginv MurnaghanNakayama