Modular invariants for group-theoretical modular data. I
Quantum Algebra
2009-08-10 v1 Category Theory
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.
Cite
@article{arxiv.0908.1044,
title = {Modular invariants for group-theoretical modular data. I},
author = {Alexei Davydov},
journal= {arXiv preprint arXiv:0908.1044},
year = {2009}
}