383 citations · 4.2k across the 131 of their papers we have counts for
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On unrolled Hopf algebras
Nicolás Andruskiewitsch, Christoph Schweigert
We show that the definition of unrolled Hopf algebras can be naturally extended to the Nichols algebra of a Yetter-Drinfeld module on which a Lie algebra $\mathfr…
Eilenberg-Watts calculus for finite categories and a bimodule Radford theorem
Jürgen Fuchs, Gregor Schaumann, Christoph Schweigert
We obtain Morita invariant versions of Eilenberg-Watts type theorems, relating Deligne products of finite linear categories to categories of left exact as well as of right exact fu…
Frobenius algebras and homotopy fixed points of group actions on bicategories
Jan Hesse, Christoph Schweigert, Alessandro Valentino
We explicitly show that symmetric Frobenius structures on a finite-dimensional, semi-simple algebra stand in bijection to homotopy fixed points of the trivial SO(2)-action on the b…
Coends in conformal field theory
Jürgen Fuchs, Christoph Schweigert
The idea of "summing over all intermediate states" that is central for implementing locality in quantum systems can be realized by coend constructions. In the concrete case of syst…
Consistent systems of correlators in non-semisimple conformal field theory
Jürgen Fuchs, Christoph Schweigert
Based on the modular functor associated with a -- not necessarily semisimple -- finite non-degenerate ribbon category , we present a definition of a consistent system o…