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Pré-Publication, Document De Travail Année : 2003

Double categories and quantum groupoids

Résumé

We 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.

Dates et versions

hal-00010030 , version 1 (07-10-2005)

Identifiants

Citer

Nicolas Andruskiewitsch, Sonia Natale. Double categories and quantum groupoids. 2003. ⟨hal-00010030⟩
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