Push-forward of Hopf--Galois extensions: the non central case
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914217555132416 |
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| author | Landi, Giovanni Pagani, Chiara |
| author_facet | Landi, Giovanni Pagani, Chiara |
| contents | We study the push-forward of Hopf--Galois extensions as the algebraic counterpart of the pullback of principal bundles. We apply the theory of twisted tensor product algebras to endow covariant extensions of modules along a map $\mathsf{F}$ with an algebra structure, under compatibility conditions between $\mathsf{F}$ and the twisting map. The push-forward of an $H$-Galois extension $B \subset A$ along a map $\mathsf{F} : B \to C$ is an $H$-Galois extension of $C$. The corresponding Ehresmann--Schauenburg algebroids are compared. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20465 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Push-forward of Hopf--Galois extensions: the non central case Landi, Giovanni Pagani, Chiara Quantum Algebra Mathematical Physics We study the push-forward of Hopf--Galois extensions as the algebraic counterpart of the pullback of principal bundles. We apply the theory of twisted tensor product algebras to endow covariant extensions of modules along a map $\mathsf{F}$ with an algebra structure, under compatibility conditions between $\mathsf{F}$ and the twisting map. The push-forward of an $H$-Galois extension $B \subset A$ along a map $\mathsf{F} : B \to C$ is an $H$-Galois extension of $C$. The corresponding Ehresmann--Schauenburg algebroids are compared. |
| title | Push-forward of Hopf--Galois extensions: the non central case |
| topic | Quantum Algebra Mathematical Physics |
| url | https://arxiv.org/abs/2512.20465 |