Coassociative magmatic bialgebras and the Fine numbers

Simple item page
dc.creatorHoltkamp, Ralf
dc.creatorLoday, Jean-Louis
dc.creatorRonco, Maria
dc.date2006-09-05
dc.date.accessioned2026-07-07T09:51:05Z
dc.date.available2026-07-07T09:51:05Z
dc.descriptionWe prove a structure theorem for the connected coassociative magmatic bialgebras. The space of primitive elements is an algebra over an operad called the primitive operad. We prove that the primitive operad is magmatic generated by n-2 operations of arity n. The dimension of the space of all the n-ary operations of this primitive operad turns out to be the Fine number F_{n-1}. In short, the triple of operads (As, Mag, MagFine) is good.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0609125
dc.identifierhttp://arxiv.org/abs/math/0609125
dc.identifierJ. Algebraic Combin. 28 (2008), no. 1, 97-114
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165164
dc.subjectRings and Algebras
dc.subjectCombinatorics
dc.subject16A24; 16W30; 17A30; 18D50; 81R60
dc.titleCoassociative magmatic bialgebras and the Fine numbers
dc.typetext

Files

Collections

arXiv