Hopf algebras of diagrams

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dc.creatorDuchamp, Gerard Henry Edmond
dc.creatorLuque, Jean-Gabriel
dc.creatorNovelli, Jean-Christophe
dc.creatorTollu, Christophe
dc.creatorToumazet, Frederic
dc.date2007-10-30
dc.date.accessioned2026-07-07T08:39:29Z
dc.date.available2026-07-07T08:39:29Z
dc.descriptionWe investigate several Hopf algebras of diagrams related to Quantum Field Theory of Partitions and whose product comes from the Hopf algebras WSym or WQSym respectively built on integer set partitions and set compositions. Bases of these algebras are indexed either by bipartite graphs (labelled or unlabbeled) or by packed matrices (with integer or set coefficients). Realizations on biword are exhibited, and it is shown how these algebras fit into a commutative diagram. Hopf deformations and dendriform structures are also considered for some algebras in the picture.
dc.description21 pages, LaTEX
dc.identifierhttps://arxiv.org/abs/0710.5661
dc.identifierhttp://arxiv.org/abs/0710.5661
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141088
dc.subjectCombinatorics
dc.subject05E99; 16W30, 18D50
dc.titleHopf algebras of diagrams
dc.typetext

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