109 citations · 461 across the 20 of their papers we have counts for
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Invertible bimodule categories and generalized Schur orthogonality
Jacob C. Bridgeman, Laurens Lootens, Frank Verstraete
The Schur orthogonality relations are a cornerstone in the representation theory of groups. We utilize a generalization to weak Hopf algebras to provide a new, readily verifiable c…
Dualities in one-dimensional quantum lattice models: topological sectors
Laurens Lootens, Clement Delcamp, Frank Verstraete
It has been a long-standing open problem to construct a general framework for relating the spectra of dual theories to each other. Here, we solve this problem for the case of one-d…
Classifying phases protected by matrix product operator symmetries using matrix product states
José Garre-Rubio, Laurens Lootens, András Molnár
We classify the different ways in which matrix product states (MPSs) can stay invariant under the action of matrix product operator (MPO) symmetries. This is achieved through a loc…
What is the group of a quantum group? From to MPO representations of
Weronika Wiesiolek, Romain Couvreur, Dmitry Chernyak +2
Generalized symmetries realized by matrix product operators (MPOs) have so far been tied to discrete data leaving continuous symmetries outside the framework. Quantum groups fill t…