68 citations · 415 across the 85 of their papers we have counts for
4 papers · 1 filter
Tensor categories attached to double groupoids
Nicolás Andruskiewitsch, Sonia Natale
The construction of a quantum groupoid out of a double groupoid satisfying a filling condition and a perturbation datum is given. This extends previous work that appeared in math.Q…
Examples of weak Hopf algebras arising from vacant double groupoids
Nicolas Andruskiewitsch, Juan Martin Mombelli
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/0308…
Representations of matched pairs of groupoids and applications to weak Hopf algebras
Marcelo Aguiar, Nicolas Andruskiewitsch
We introduce the category of set-theoretic representations of a matched pair of groupoids. This is a monoidal category endowed with a monoidal functor to the category of quivers ov…
On the quiver-theoretical quantum Yang-Baxter equation
Nicolas Andruskiewitsch
Quivers over a fixed base set form a monoidal category with tensor product given by pullback. The quantum Yang-Baxter equation, or more properly the braid equation, is investigated…