Modular invariants for group-theoretical modular data. I

By Alexei Davydov. 2009

57 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d0cee1f69eaf0140b5197787d3693f111e844ba9

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In Algebra and Number Theory

1. Salman Beigi
2. Peter W. Shor
3. Daniel Whalen

In Geometry and Topology

1. Salman Beigi
2. Peter W. Shor
3. Daniel Whalen

In Mathematical Physics

1. Salman Beigi
2. Peter W. Shor
3. Daniel Whalen

Citations in the corpus

• The Quantum Double Model with Boundary: Condensations and Symmetries (2010, methodology): “However, the algebras that we constructed are the maximal ones classified in [6].”