On the Lie noncommutative integrability
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917279190482944 |
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| author | Tsiganov, A. V. |
| author_facet | Tsiganov, A. V. |
| contents | The Lie theory of non-commutative integrability is used to reconstruct some integrable systems of ordinary differential equations in three dimensional Eucledian space. The Darboux-Brioschi-Halphen system is an example of the Lie integrable system associated with the simple Lie algebra sl(2,R). Other examples are related with solvable three dimensional real Lie algebras of Bianchi B class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_16267 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Lie noncommutative integrability Tsiganov, A. V. Exactly Solvable and Integrable Systems Mathematical Physics Dynamical Systems The Lie theory of non-commutative integrability is used to reconstruct some integrable systems of ordinary differential equations in three dimensional Eucledian space. The Darboux-Brioschi-Halphen system is an example of the Lie integrable system associated with the simple Lie algebra sl(2,R). Other examples are related with solvable three dimensional real Lie algebras of Bianchi B class. |
| title | On the Lie noncommutative integrability |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics Dynamical Systems |
| url | https://arxiv.org/abs/2602.16267 |