3 papers
math.QA2020
Defects in Kitaev models and bicomodule algebras
Vincent Koppen
We construct a Kitaev model, consisting of a Hamiltonian which is the sum of commuting local projectors, for surfaces with boundaries and defects of dimension 0 and 1. More specifi…
math.QA2019
On isotypic decompositions for non-semisimple Hopf algebras
Vincent Koppen, Ehud Meir, Christoph Schweigert
In this paper we study the isotypic decomposition of the regular module of a finite-dimensional Hopf algebra over an algebraically closed field of characteristic zero. For a semisi…
math.QA2018
Category-valued traces for bimodule categories: a representation-theoretic realization
Vincent Koppen
The category-valued trace assigns to a bimodule category over a linear monoidal category a linear category. It generalizes Drinfeld centers of monoidal categories and the relative…