Frobenius Monoidal Functors of Dijkgraaf-Witten Categories and Rigid Frobenius Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Hannah, Samuel, Laugwitz, Robert, Ros Camacho, Ana
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212009
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Frobenius Monoidal Functors of Dijkgraaf-Witten Categories and Rigid Frobenius Algebras. Samuel Hannah, Robert Laugwitz and Ana Ros Camacho. SIGMA 19 (2023), 075, 42 pages

We construct a separable Frobenius monoidal functor from (Vectω|ᴴ) to (Vectω) for any subgroup of which preserves braiding and ribbon structure. As an application, we classify rigid Frobenius algebras in (Vectω), recovering the classification of étale algebras in these categories by Davydov-Simmon...