Two positivity conjectures for Kerov polynomials

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dc.creatorLassalle, Michel
dc.date2007-10-12
dc.date2008-01-27
dc.date.accessioned2026-07-07T10:00:48Z
dc.date.available2026-07-07T10:00:48Z
dc.descriptionKerov polynomials express the normalized characters of irreducible representations of the symmetric group, evaluated on a cycle, as polynomials in the free cumulants of the associated Young diagram. We present two positivity conjectures for their coefficients. The latter are stronger than the positivity conjecture of Kerov-Biane, recently proved by Feray.
dc.description15 pages, LaTeX, final version, to appear in Adv. Appl. Math
dc.identifierhttps://arxiv.org/abs/0710.2454
dc.identifierhttp://arxiv.org/abs/0710.2454
dc.identifierAdvances in Applied Mathematics, 41 (2008), 407-422
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168430
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.titleTwo positivity conjectures for Kerov polynomials
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