Ideal classes of orders in quaternion algebras
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866916632178196480 |
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| author | Marseglia, Stefano Smit, Harry |
| author_facet | Marseglia, Stefano Smit, Harry |
| contents | We provide an algorithm that, given any order $O$ in a quaternion algebra over a global field, computes representatives of all right equivalence classes of right $O$-ideals, including the non-invertible ones. The theory is developed for a more general kind of algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_13156 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Ideal classes of orders in quaternion algebras Marseglia, Stefano Smit, Harry Number Theory Rings and Algebras 11R52, 11Y40 We provide an algorithm that, given any order $O$ in a quaternion algebra over a global field, computes representatives of all right equivalence classes of right $O$-ideals, including the non-invertible ones. The theory is developed for a more general kind of algebras. |
| title | Ideal classes of orders in quaternion algebras |
| topic | Number Theory Rings and Algebras 11R52, 11Y40 |
| url | https://arxiv.org/abs/2211.13156 |