On formal codegrees of fusion categories

2008/10/17 by Victor Ostrik, Ostrik, Victor · 2 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.0810.3242

openalex publication_date 2008/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a general result which implies that the global and Frobenius-Perron dimensions of a fusion category generate Galois invariant ideals in the ring of algebraic integers.

Citations

• From subfactors to categories and topology II: The quantum double of tensor categories and subfactors

Cited by

• Modular fusion categories with few twists
• Classifying integral Grothendieck rings up to rank 5 and beyond

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