Double categories and quantum groupoids

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dc.creatorAndruskiewitsch, Nicolas
dc.creatorNatale, Sonia
dc.date2003-08-25
dc.date2003-09-28
dc.date.accessioned2026-07-07T06:33:26Z
dc.date.available2026-07-07T06:33:26Z
dc.descriptionWe give the construction of a class of weak Hopf algebras (or quantum groupoids) associated to a matched pair of groupoids and certain cocycle data. This generalizes a now well-known construction for Hopf algebras, first studied by G. I. Kac in the sixties. Our approach is based on the notion of double groupoids, as introduced by Ehresmann.
dc.description34 pages, amslatex. The statement in Proposition 3.10 has been corrected
dc.identifierhttps://arxiv.org/abs/math/0308228
dc.identifierhttp://arxiv.org/abs/math/0308228
dc.identifierPubl. Mat. Urug. 10 11-51 (2005).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99192
dc.subjectQuantum Algebra
dc.subject16W30
dc.titleDouble categories and quantum groupoids
dc.typetext

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