Positivity results for Stanley's character polynomials

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dc.creatorRattan, Amarpreet
dc.date2006-01-09
dc.date2007-11-17
dc.date.accessioned2026-07-07T08:43:12Z
dc.date.available2026-07-07T08:43:12Z
dc.descriptionStanley introduced expressions for the normalized characters of the symmetric group and stated some positivity conjectures for these expressions. Here, we give an affirmative partial answer to Stanley's positivity conjectures about the expressions using results on Kerov polynomials. In particular, we use new positivity results by Goulden and the present author. We shall see that the generating series $C(t)$ introduced by them is critical to our discussion.
dc.description20 pages, 2 figures, v2, minor revisions, fixed typos etc
dc.identifierhttps://arxiv.org/abs/math/0601186
dc.identifierhttp://arxiv.org/abs/math/0601186
dc.identifierJ. Algebra, 308(1):26-47, Feb. 2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142235
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject20C30; 05E10
dc.titlePositivity results for Stanley's character polynomials
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