2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63020Using a 0/1 encoding of Young diagrams and its consequences for rim hook tableaux, we prove a reduction formula of Littlewood for arbitrary characters of the symmetric group, evaluated at elements with all cycle lengths divisible by a given integer. As an application, we find explicitly the coefficients in a formula of Kostant for certain powers of the Dedekind $η$-function, avoiding most of the original machinery.24 pages; minor changes, more detailed introductionCombinatoricsRepresentation Theorytext