Hopf-Galois objects over bicrossed product Hopf algebras and twisting maps
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914988655902720 |
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| author | Bichon, Julien García, Agustín |
| author_facet | Bichon, Julien García, Agustín |
| contents | We describe Hopf-Galois objects over bicrossed product Hopf algebras. More precisely, we show that any right Hopf-Galois object over a bicrossed product of Hopf algebras is obtained from Hopf-Galois objects over the two factors and a certain twisting map, while the unique Hopf algebra making it into a bi-Galois object is again a bicrossed product. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19325 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hopf-Galois objects over bicrossed product Hopf algebras and twisting maps Bichon, Julien García, Agustín Quantum Algebra Rings and Algebras We describe Hopf-Galois objects over bicrossed product Hopf algebras. More precisely, we show that any right Hopf-Galois object over a bicrossed product of Hopf algebras is obtained from Hopf-Galois objects over the two factors and a certain twisting map, while the unique Hopf algebra making it into a bi-Galois object is again a bicrossed product. |
| title | Hopf-Galois objects over bicrossed product Hopf algebras and twisting maps |
| topic | Quantum Algebra Rings and Algebras |
| url | https://arxiv.org/abs/2410.19325 |