Signed differential posets and sign-imbalance

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dc.creatorLam, Thomas
dc.date2006-11-09
dc.date2006-12-11
dc.date.accessioned2026-07-07T06:34:28Z
dc.date.available2026-07-07T06:34:28Z
dc.descriptionWe study signed differential posets, a signed version of differential posets. These posets satisfy enumerative identities which are signed analogues of those satisfied by differential posets. Our main motivations are the sign-imbalance identities for partition shapes originally conjectured by Stanley, now proven by Lam, Reifergerste and Sjostrand. We show that these identities result from a signed differential poset structure on Young's lattice, and explain similar identities for Fibonacci shapes.
dc.descriptionReferences updated. 20 pages
dc.identifierhttps://arxiv.org/abs/math/0611296
dc.identifierhttp://arxiv.org/abs/math/0611296
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99538
dc.subjectCombinatorics
dc.subject06A07
dc.titleSigned differential posets and sign-imbalance
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