Recurrence relations over division algebras
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866916960828129280 |
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| author | Chapman, Adam Vishkautsan, Solomon |
| author_facet | Chapman, Adam Vishkautsan, Solomon |
| contents | We generalize the solution of linear recurrence relations from fields to central division algebras, adapting the standard tools of companion matrices and characteristic polynomials to the non-commutative setting. We then solve linear recurrences of order 2 over octonion division algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_17826 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Recurrence relations over division algebras Chapman, Adam Vishkautsan, Solomon Rings and Algebras 11B37, 16K20, 17A35, 17A75, 15A18, 15B33, 12E15 We generalize the solution of linear recurrence relations from fields to central division algebras, adapting the standard tools of companion matrices and characteristic polynomials to the non-commutative setting. We then solve linear recurrences of order 2 over octonion division algebras. |
| title | Recurrence relations over division algebras |
| topic | Rings and Algebras 11B37, 16K20, 17A35, 17A75, 15A18, 15B33, 12E15 |
| url | https://arxiv.org/abs/2509.17826 |