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2006 Examples of weak Hopf algebras arising from vacant double groupoids
Nicolás Andruskiewitsch, Juan Martín Mombelli
Nagoya Math. J. 181: 1-27 (2006).


We construct explicit examples of weak Hopf algebras (actually face algebras in the sense of Hayashi [H]) via vacant double groupoids as explained in [AN]. 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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Nicolás Andruskiewitsch. Juan Martín Mombelli. "Examples of weak Hopf algebras arising from vacant double groupoids." Nagoya Math. J. 181 1 - 27, 2006.


Published: 2006
First available in Project Euclid: 14 March 2006

zbMATH: 1111.16036
MathSciNet: MR2210707

Primary: 17B37 , 81R50

Rights: Copyright © 2006 Editorial Board, Nagoya Mathematical Journal

Vol.181 • 2006
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