Examples of weak Hopf algebras arising from vacant double groupoids

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...

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Bibliographic Details
Published in:arXiv.org 2004-05
Main Authors: Andruskiewitsch, Nicolas, Juan Martin Mombelli
Format: Article
Language:English
Subjects:
Algebra
Homology
Online Access:Get full text
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Summary: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.
ISSN:2331-8422