Maximal prepositive cones on quaternion algebras with involution
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866913148671361024 |
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| author | Leader, Andrew |
| author_facet | Leader, Andrew |
| contents | We give a description of prepositive cones -- a notion of ordering on algebras with involution introduced by Astier and Unger -- in the specific context of quaternion algebras with involution. Our main result establishes that, for a broad class of quaternion algebras with involution, every prepositive cone is maximal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13426 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Maximal prepositive cones on quaternion algebras with involution Leader, Andrew Rings and Algebras 13J30, 16W10, 06F25, 16K20, 11E39 We give a description of prepositive cones -- a notion of ordering on algebras with involution introduced by Astier and Unger -- in the specific context of quaternion algebras with involution. Our main result establishes that, for a broad class of quaternion algebras with involution, every prepositive cone is maximal. |
| title | Maximal prepositive cones on quaternion algebras with involution |
| topic | Rings and Algebras 13J30, 16W10, 06F25, 16K20, 11E39 |
| url | https://arxiv.org/abs/2506.13426 |