90 citations · 865 across the 43 of their papers we have counts for
4 papers · 2 filters
Modified traces for quasi-Hopf algebras
Johannes Berger, Azat M. Gainutdinov, Ingo Runkel
Let H be a finite-dimensional unimodular pivotal quasi-Hopf algebra over a field k, and let H-mod be the pivotal tensor category of finite-dimensional H-modules. We give a bijectio…
Modularization of small quantum groups
Azat M. Gainutdinov, Simon Lentner, Tobias Ohrmann
We construct a large family of ribbon quasi-Hopf algebras related to small quantum groups, with a factorizable R-matrix. Our main purpose is to obtain non-semisimple modular tensor…
Module traces and Hopf group-coalgebras
Andres F. Fontalvo Orozco, Azat M. Gainutdinov
Let H be a finite-dimensional pivotal and unimodular Hopf algebra over a field k. It was shown in [BBGa] that the projective tensor ideal in H-mod admits a unique non-degenerate mo…
Modified trace is a symmetrised integral
Anna Beliakova, Christian Blanchet, Azat M. Gainutdinov
A modified trace for a finite k-linear pivotal category is a family of linear forms on endomorphism spaces of projective objects which has cyclicity and so-called partial trace pro…