Examples of weak Hopf algebras arising from vacant double groupoids

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We construct explicit examples of weak Hopf algebras (actually face algebras in the sense of Hayashi) via vacant double groupoids as explained in \http://arxiv.org/abs/math.QA/0308228. To this end, we first study the Kac exact sequence for matched pairs of groupoids and show that it can be computed via group cohomology. Then we describe explicit examples of finite vacant double groupoids.
19 pages

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Quantum Algebra, 16W30

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http://salesiana.dossiersoluciones.com/handle/123456789/130549

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405374
 http://arxiv.org/abs/math/0405374
 Nagoya Math. J. 181 (2006), 1--27

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arXiv