Frobenius monoidal functors from ambiadjunctions and their lifts to Drinfeld centers
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913847437164544 |
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| author | Flake, Johannes Laugwitz, Robert Posur, Sebastian |
| author_facet | Flake, Johannes Laugwitz, Robert Posur, Sebastian |
| contents | We identify general conditions, formulated using the projection formula morphisms, for a functor that is simultaneously left and right adjoint to a strong monoidal functor to be a Frobenius monoidal functor. Moreover, we identify stronger conditions for the adjoint functor to extend to a braided Frobenius monoidal functor on Drinfeld centers building on our previous work in [arXiv:2402.10094]. As an application, we construct concrete examples of (braided) Frobenius monoidal functors obtained from morphisms of Hopf algebras via induction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08702 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Frobenius monoidal functors from ambiadjunctions and their lifts to Drinfeld centers Flake, Johannes Laugwitz, Robert Posur, Sebastian Category Theory Quantum Algebra Representation Theory 18M05, 18M15 (Primary) 16T05, 16L60 (Secondary) We identify general conditions, formulated using the projection formula morphisms, for a functor that is simultaneously left and right adjoint to a strong monoidal functor to be a Frobenius monoidal functor. Moreover, we identify stronger conditions for the adjoint functor to extend to a braided Frobenius monoidal functor on Drinfeld centers building on our previous work in [arXiv:2402.10094]. As an application, we construct concrete examples of (braided) Frobenius monoidal functors obtained from morphisms of Hopf algebras via induction. |
| title | Frobenius monoidal functors from ambiadjunctions and their lifts to Drinfeld centers |
| topic | Category Theory Quantum Algebra Representation Theory 18M05, 18M15 (Primary) 16T05, 16L60 (Secondary) |
| url | https://arxiv.org/abs/2410.08702 |