Symmetric functions, noncommutative symmetric functions, and quasisymmetric functions II

dc.creatorHazewinkel, Michiel
dc.date2004-10-21
dc.date.accessioned2026-07-07T05:13:35Z
dc.date.available2026-07-07T05:13:35Z
dc.descriptionLike its precursor this paper is concerned with the Hopf algebra of noncommutative symmetric functions and its graded dual, the Hopf algebra of quasisymmetric functions. It complements and extends the previous paper but is also selfcontained. Here we concentrate on explicit descriptions (constructions) of a basis of the Lie algebra of primitives of NSymm and an explicit free polynomial basis of QSymm. As before everything is done over the integers. As applications the matter of the existence of suitable analogues of Frobenius and Verschiebung morphisms is discussed.
dc.descriptionThis is part two of this survey; to appear in Acta. Appl. Math. The first part appeared in Acta Appl. Math 75 (2003), 55-93 and is also 'arXived'. 21 pages
dc.identifierhttps://arxiv.org/abs/math/0410470
dc.identifierhttp://arxiv.org/abs/math/0410470
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72961
dc.subjectQuantum Algebra
dc.subjectAlgebraic Geometry
dc.subject16W30; 05E05; 05E10;20C30; 14L05
dc.titleSymmetric functions, noncommutative symmetric functions, and quasisymmetric functions II
dc.typetext

Files

Collections