A note on three types of quasisymmetric functions

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dc.creatorPetersen, T. Kyle
dc.date2005-08-08
dc.date.accessioned2026-07-07T05:22:16Z
dc.date.available2026-07-07T05:22:16Z
dc.descriptionIn the context of generating functions for $P$-partitions, we revisit three flavors of quasisymmetric functions: Gessel's quasisymmetric functions, Chow's type B quasisymmetric functions, and Poirier's signed quasisymmetric functions. In each case we use the inner coproduct to give a combinatorial description (counting pairs of permutations) to the multiplication in: Solomon's type A descent algebra, Solomon's type B descent algebra, and the Mantaci-Reutenauer algebra, respectively. The presentation is brief and elementary, our main results coming as consequences of $P$-partition theorems already in the literature.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0508149
dc.identifierhttp://arxiv.org/abs/math/0508149
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75994
dc.subjectCombinatorics
dc.subject05E99
dc.titleA note on three types of quasisymmetric functions
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