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

Amarpreet Rattan
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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.

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Amarpreet Rattan. 2007-12-21. Stanley's character polynomials and coloured factorizations in the symmetric group. https://arxiv.org/abs/math/0610557

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