Normal forms for ordinary differential operators, II
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908635834089472 |
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| author | Guo, J. Zheglov, A. B. |
| author_facet | Guo, J. Zheglov, A. B. |
| contents | In this paper, which is a follow-up of our first paper "Normal forms for ordinary differential operators, I", we extend the theory of normal forms for non-commuting operators, and obtain as an application a commutativity criterion for operators in the Weyl algebra or, more generally, in the ring of ordinary differential operators, which we prove in the case when operators have a normal form with the restriction top line (for details see Introduction). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_05117 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Normal forms for ordinary differential operators, II Guo, J. Zheglov, A. B. Algebraic Geometry Mathematical Physics Quantum Algebra Rings and Algebras In this paper, which is a follow-up of our first paper "Normal forms for ordinary differential operators, I", we extend the theory of normal forms for non-commuting operators, and obtain as an application a commutativity criterion for operators in the Weyl algebra or, more generally, in the ring of ordinary differential operators, which we prove in the case when operators have a normal form with the restriction top line (for details see Introduction). |
| title | Normal forms for ordinary differential operators, II |
| topic | Algebraic Geometry Mathematical Physics Quantum Algebra Rings and Algebras |
| url | https://arxiv.org/abs/2511.05117 |