An operational calculus for the Mould operad

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dc.creatorChapoton, Frédéric
dc.creatorHivert, Florent
dc.creatorNovelli, Jean-Christophe
dc.creatorThibon, Jean-Yves
dc.date2007-10-01
dc.date2007-10-18
dc.date.accessioned2026-07-07T08:36:46Z
dc.date.available2026-07-07T08:36:46Z
dc.descriptionThe operad of moulds is realized in terms of an operational calculus of formal integrals (continuous formal power series). This leads to many simplifications and to the discovery of various suboperads. In particular, we prove a conjecture of the first author about the inverse image of non-crossing trees in the dendriform operad. Finally, we explain a connection with the formalism of noncommutative symmetric functions.
dc.description16 pages, one reference added and minor changes in v2
dc.identifierhttps://arxiv.org/abs/0710.0349
dc.identifierhttp://arxiv.org/abs/0710.0349
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140178
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subject18D50, 05E
dc.titleAn operational calculus for the Mould operad
dc.typetext

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