Solving Order 3 Difference Equations
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911198841143296 |
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| author | KaedBey, Heba Bou van Hoeij, Mark Tsui, Man Cheung |
| author_facet | KaedBey, Heba Bou van Hoeij, Mark Tsui, Man Cheung |
| contents | We classify order $3$ linear difference operators over $\mathbb{C}(x)$ that are solvable in terms of lower order difference operators. To prove this result, we introduce the notion of absolute irreducibility for difference modules, and classify (for arbitrary order) modules that are irreducible but not absolutely irreducible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03868 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Solving Order 3 Difference Equations KaedBey, Heba Bou van Hoeij, Mark Tsui, Man Cheung Rings and Algebras Commutative Algebra 12H10, 39A06 We classify order $3$ linear difference operators over $\mathbb{C}(x)$ that are solvable in terms of lower order difference operators. To prove this result, we introduce the notion of absolute irreducibility for difference modules, and classify (for arbitrary order) modules that are irreducible but not absolutely irreducible. |
| title | Solving Order 3 Difference Equations |
| topic | Rings and Algebras Commutative Algebra 12H10, 39A06 |
| url | https://arxiv.org/abs/2402.03868 |