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Constructing dynamical twists over a non-abelian base
Juan Martin Mombelli
We give examples of dynamical twists in finite-dimensional Hopf algebras over an arbitrary Hopf subalgebra. The construction is based on the categorical approach of dynamical twist…
Tensor categories and vacant double groupoids
Juan Martin Mombelli, Sonia Natale
We show that fusion categories $\Rep(\ku^σ_τ \Tc)$ of representations of the weak Hopf algebra coming from a vacant double groupoid $\Tc$ and a pair of compatible 2-cocyle…
On Braided Groupoids
C. Maldonado, J. M. Mombelli
We study and give examples of braided groupoids, and, a fortiori, non-degenerate solutions of the quiver-theoretical braid equation.
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…