Integral non-group-theoretical modular categories of dimension p²q²

2024/04/04 by César Galíndo, Galindo, César, Julia Plavnik +3 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2404.03826

openalex publication_date 2024/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We construct all integral non-group-theoretical modular categories of dimension p²q², where p and q are distinct prime numbers, establishing that a necessary and sufficient condition for their existence is that p | q+1, and their rank is p² + (q² - 1)/(p).

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