Stanley's character polynomials and coloured factorizations in the symmetric group
Combinatorics
2007-12-21 v2 Representation Theory
Abstract
Stanley 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.
Cite
@article{arxiv.math/0610557,
title = {Stanley's character polynomials and coloured factorizations in the symmetric group},
author = {Amarpreet Rattan},
journal= {arXiv preprint arXiv:math/0610557},
year = {2007}
}
Comments
11 pages, 5 figures, v2 minor revisions (typos etc)