93 citations · 97 across the 7 of their papers we have counts for
7 papers
A hierarchy of topological tensor network states
Oliver Buerschaper, Juan Martín Mombelli, Matthias Christandl +1
We present a hierarchy of quantum many-body states among which many examples of topological order can be identified by construction. We define these states in terms of a general, b…
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…
Dynamical twists in Hopf algebras
Juan Martin Mombelli
We establish a bijective correspondence between gauge equivalence classes of dynamical twists in a finite-dimensional Hopf algebra based on a finite abelian group and equiv…
On module categories over finite-dimensional Hopf algebras
Nicolas Andruskiewitsch, Juan Martin Mombelli
We show that indecomposable exact module categories over the category Rep H of representations of a finite-dimensional Hopf algebra H are classified by left comodule algebras, H-si…
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.