Symmetric and Quasi-Symmetric Functions associated to Polymatroids

Simple item page
dc.creatorDerksen, Harm
dc.date2008-01-28
dc.date.accessioned2026-07-07T08:57:02Z
dc.date.available2026-07-07T08:57:02Z
dc.descriptionTo every subspace arrangement X we will associate symmetric functions P[X] and H[X]. These symmetric functions encode the Hilbert series and the minimal projective resolution of the product ideal associated to the subspace arrangement. They can be defined for discrete polymatroids as well. The invariant H[X] specializes to the Tutte polynomial T[X]. Billera, Jia and Reiner recently introduced a quasi-symmetric function F[X] (for matroids) which behaves valuatively with respect to matroid base polytope decompositions. We will define a quasi-symmetric function G[X] for polymatroids which has this property as well. Moreover, G[X] specializes to P[X], H[X], T[X] and F[X].
dc.description37 pages
dc.identifierhttps://arxiv.org/abs/0801.4393
dc.identifierhttp://arxiv.org/abs/0801.4393
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146822
dc.subjectCombinatorics
dc.subjectCommutative Algebra
dc.subject05B35, 05E05, 13D02
dc.titleSymmetric and Quasi-Symmetric Functions associated to Polymatroids
dc.typetext

Files

Collections

arXiv