Non-abelian class field theory and higher dimensional noncommutative tori
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911137399832576 |
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| author | Nikolaev, Igor V. |
| author_facet | Nikolaev, Igor V. |
| contents | We study a relation between the Drinfeld modules and the even dimensional noncommutative tori. A non-abelian class field theory is developed based on this relation. Explicit generators of the Galois extensions are constructed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_05779 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-abelian class field theory and higher dimensional noncommutative tori Nikolaev, Igor V. Number Theory Operator Algebras 11G09, 46L85 We study a relation between the Drinfeld modules and the even dimensional noncommutative tori. A non-abelian class field theory is developed based on this relation. Explicit generators of the Galois extensions are constructed. |
| title | Non-abelian class field theory and higher dimensional noncommutative tori |
| topic | Number Theory Operator Algebras 11G09, 46L85 |
| url | https://arxiv.org/abs/2309.05779 |