Hopf quivers

dc.creatorCibils, Claude
dc.creatorRosso, Marc
dc.date2000-09-11
dc.date.accessioned2026-07-07T04:37:19Z
dc.date.available2026-07-07T04:37:19Z
dc.descriptionWe classify graded Hopf algebras structures over path coalgebras, that is over free pointed coalgebras, using Hopf quivers which are analogous to Cayley graphs. The description involves formulas for the product besides the canonical formulas for the coproduct. This makes explicit the quantum shuffle product making use of natural elements in a Hopf bimodule having a simple "geometrical" interpretation in the quiver sense, rather than working systematically with right or left coinvariants.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0009106
dc.identifierhttp://arxiv.org/abs/math/0009106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59912
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject57T05;16W30
dc.titleHopf quivers
dc.typetext

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