Relation between bicrossed products and crossed extensions of fusion categories
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866916957848076288 |
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| author | Müller, Monique Pollastri, Héctor Martín Peña Plavnik, Julia |
| author_facet | Müller, Monique Pollastri, Héctor Martín Peña Plavnik, Julia |
| contents | We show that all crossed extensions defined by Natale can be recovered as duals of bicrossed products of fusion categories. As an application, we prove that any exact factorization between a pointed fusion category $\operatorname{vec}_G$ and a fusion category $\mathcal{C}$ can be realized as a bicrossed product $\operatorname{vec}_G\bowtie \mathcal{C}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08562 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relation between bicrossed products and crossed extensions of fusion categories Müller, Monique Pollastri, Héctor Martín Peña Plavnik, Julia Quantum Algebra 18M20 We show that all crossed extensions defined by Natale can be recovered as duals of bicrossed products of fusion categories. As an application, we prove that any exact factorization between a pointed fusion category $\operatorname{vec}_G$ and a fusion category $\mathcal{C}$ can be realized as a bicrossed product $\operatorname{vec}_G\bowtie \mathcal{C}$. |
| title | Relation between bicrossed products and crossed extensions of fusion categories |
| topic | Quantum Algebra 18M20 |
| url | https://arxiv.org/abs/2507.08562 |