Colored posets and colored quasisymmetric functions

Simple item page
dc.creatorHsiao, Samuel K.
dc.creatorPetersen, T. Kyle
dc.date2006-10-31
dc.date.accessioned2026-07-07T07:29:41Z
dc.date.available2026-07-07T07:29:41Z
dc.descriptionThe colored quasisymmetric functions, like the classic quasisymmetric functions, are known to form a Hopf algebra with a natural peak subalgebra. We show how these algebras arise as the image of the algebra of colored posets. To effect this approach we introduce colored analogs of $P$-partitions and enriched $P$-partitions. We also frame our results in terms of Aguiar, Bergeron, and Sottile's theory of combinatorial Hopf algebras and its colored analog.
dc.description31 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0610984
dc.identifierhttp://arxiv.org/abs/math/0610984
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118207
dc.subjectCombinatorics
dc.subjectRings and Algebras
dc.titleColored posets and colored quasisymmetric functions
dc.typetext

Files

Collections

arXiv