Stanley's character polynomials and coloured factorizations in the symmetric group

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144684Stanley introduces polynomials which help evaluate symmetric group characters and conjectures that the coefficients of the polynomials are positive. Stanley later gives a conjectured combinatorial interpretation for the coefficients of the polynomials. Here, we prove the conjecture for the terms of highest degree.11 pages, 5 figures, v2 minor revisions (typos etc)CombinatoricsRepresentation Theory05E10, 20C30Stanley's character polynomials and coloured factorizations in the symmetric grouptext