INVESTIGADORES
MOMBELLI Juan Martin
artículos
Título:
Examples of weak Hopf algebras arising from vacant double groupoids
Autor/es:
MARTIN MOMBELLI; NICOLÁS ANDRUSKIEWITSCH
Revista:
NAGOYA MATHEMATICAL JOURNAL
Editorial:
NAGOYA UNIV
Referencias:
Año: 2006 vol. 181 p. 1 - 27
ISSN:
0027-7630
Resumen:
We construct explicit examples of weak Hopf algebras (actually
face algebras in the sense of Hayashi \cite{H}) via vacant double
groupoids as explained in \cite{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.
