Frobenius Monoidal Functors of Dijkgraaf-Witten Categories and Rigid Frobenius Algebras
We construct a separable Frobenius monoidal functor from 𝒵(Vectω|ᴴ𝐻) to 𝒵(Vectω𝐺) for any subgroup 𝐻 of 𝐺 which preserves braiding and ribbon structure. As an application, we classify rigid Frobenius algebras in 𝒵(Vectω𝐺), recovering the classification of étale algebras in these categories by Davydo...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2023 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212009 |
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| 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 |