2 citations · 5 across the 3 of their papers we have counts for
4 papers
Permutation Modular Invariants from Modular Functors
Till Barmeier
For any finite group G with a finite G-set X and a modular tensor category C we construct a part of the algebraic structure of an associated G-equivariant monoidal category: For an…
A Geometric Construction for Permutation Equivariant Categories from Modular Functors
Till Barmeier, Christoph Schweigert
Let G be a finite group. Given a finite G-set X and a modular tensor category C, we construct a weak G-equivariant fusion category, called the permutation equivariant tensor catego…
Module categories for permutation modular invariants
Till Barmeier, Jurgen Fuchs, Ingo Runkel +1
We show that a braided monoidal category C can be endowed with the structure of a right (and left) module category over C \times C. In fact, there is a family of such module catego…
On the Rosenberg-Zelinsky sequence in abelian monoidal categories
Till Barmeier, J"urgen Fuchs, Ingo Runkel +1
We consider Frobenius algebras and their bimodules in certain abelian monoidal categories. In particular we study the Picard group of the category of bimodules over a Frobenius alg…