Double categories and quantum groupoids

Details Double categories and quantum groupoids Double categories and quantum groupoids

2003-08-25

arxiv.org/abs/math/0308228v2

Publ. Mat. Urug. 10 11-51 (2005).

Mathematics

Quantum Algebra

34 pages, amslatex. The statement in Proposition 3.10 has been corrected

Scientific paper

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.

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