A rigidity theorem for Moor-bialgebras

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dc.creatorPhilippe, Leroux
dc.date2008-04-04
dc.date2008-06-25
dc.date.accessioned2026-07-07T09:46:19Z
dc.date.available2026-07-07T09:46:19Z
dc.descriptionWe introduce the operad Moor, dual of the operad NAP and the notion of Moor-bialgebras. We warn the reader that the compatibility relation linking the Moor-operation with the Moor-cooperation is not distributive in the sense of Loday. Nevertheless, a rigidity theorem (à la Hopf-Borel) for the category of connected Moor-bialgebras is given. We show also that free permutative algebras can be equipped with a Moor-cooperation whose compatibility with the permutative product looks like the infinitesimal relation.
dc.descriptionV2. Radical change of the paper
dc.identifierhttps://arxiv.org/abs/0804.0677
dc.identifierhttp://arxiv.org/abs/0804.0677
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163486
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16D99, 16W30, 17A30
dc.titleA rigidity theorem for Moor-bialgebras
dc.typetext

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