Modular invariants for group-theoretical modular data. I
arXiv:0908.1044
Abstract
We classify indecomposable commutative separable (special Frobenius) algebras and their local modules in (untwisted) group-theoretical modular categories. This gives a description of modular invariants for group-theoretical modular data. As a bi-product we provide an answer to the question when (and in how many ways) two group-theoretical modular categories are equivalent as ribbon categories.
References in corpus (12)
- Spherical Categories
- Correspondences of ribbon categories
- Higher Algebraic Structures and Quantization
- Finite Group Modular Data
- Homotopy field theory in dimension 2 and group-algebras
- Group-theoretical properties of nilpotent modular categories
- Open-string vertex algebras, tensor categories and operads
- On the Gauge Equivalence of Twisted Quantum Doubles of Elementary Abelian and Extra-Special 2-Groups
- Subfactor realisation of modular invariants
- Categorification and correlation functions in conformal field theory
- Isocategorical groups
- The double of a Hopf monad