Relating the Connes-Kreimer and Grossman-Larson Hopf algebras built on rooted trees

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dc.creatorPanaite, Florin
dc.date2000-03-13
dc.date.accessioned2026-07-07T04:34:17Z
dc.date.available2026-07-07T04:34:17Z
dc.descriptionWe find a relation between two Hopf algebras built on rooted trees. The first is the Connes-Kreimer Hopf algebra H_R which describes a certain type of renormalization in quantum field theory; the second is the Grossman-Larson Hopf algebra A introduced ten years ago by some "differential" and combinatorial reasons. Roughly, the relation is the following: there exists a duality between these two Hopf algebras. We study then two natural operators on A, inspired by similar ones introduced by Connes and Kreimer for H_R.
dc.description8 pages, Latex, no figures
dc.identifierhttps://arxiv.org/abs/math/0003074
dc.identifierhttp://arxiv.org/abs/math/0003074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58844
dc.subjectQuantum Algebra
dc.titleRelating the Connes-Kreimer and Grossman-Larson Hopf algebras built on rooted trees
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