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

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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.
11 pages, 5 figures, v2 minor revisions (typos etc)

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Combinatorics, Representation Theory, 05E10, 20C30

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http://salesiana.dossiersoluciones.com/handle/123456789/144684

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610557
 http://arxiv.org/abs/math/0610557

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arXiv