Characterization of principal bundles: the noncommutative algebraic case
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911784629174272 |
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| author | Ugalde, William J. |
| author_facet | Ugalde, William J. |
| contents | We review Hopf-Galois extensions, in particular faithfully flat ones, accepted to be the noncommutative algebraic dual of a principal bundle. We also make a short digression into how quantum groups relate to Hopf-Galois extensions. Several examples are given, in order to provide a satisfactory understanding of each topic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16852 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Characterization of principal bundles: the noncommutative algebraic case Ugalde, William J. Quantum Algebra 16T05 We review Hopf-Galois extensions, in particular faithfully flat ones, accepted to be the noncommutative algebraic dual of a principal bundle. We also make a short digression into how quantum groups relate to Hopf-Galois extensions. Several examples are given, in order to provide a satisfactory understanding of each topic. |
| title | Characterization of principal bundles: the noncommutative algebraic case |
| topic | Quantum Algebra 16T05 |
| url | https://arxiv.org/abs/2402.16852 |