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Examples of weak Hopf algebras arising from vacant double groupoids

Nicolas Andruskiewitsch·Juan Martin Mombelli
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Abstract

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.

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BibTeXRIS

Nicolas Andruskiewitsch, Juan Martin Mombelli. 2004-05-19. Examples of weak Hopf algebras arising from vacant double groupoids. https://arxiv.org/abs/math/0405374

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