Affine Weyl groups and non-Abelian discrete systems: an application to the $d$-Painlevé equations
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914730351788032 |
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| author | Bobrova, Irina |
| author_facet | Bobrova, Irina |
| contents | A non-abelian generalisation of a birational representation of affine Weyl groups and their application to the discrete dynamical systems is presented. By using this generalisation, non-commutative analogs for the discrete systems of $A_n^{(1)}$, $n \geq 2$ type and of $d$-Painlevé equations with an additive dynamic were derived. A coalescence cascade of the later is also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18463 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Affine Weyl groups and non-Abelian discrete systems: an application to the $d$-Painlevé equations Bobrova, Irina Exactly Solvable and Integrable Systems A non-abelian generalisation of a birational representation of affine Weyl groups and their application to the discrete dynamical systems is presented. By using this generalisation, non-commutative analogs for the discrete systems of $A_n^{(1)}$, $n \geq 2$ type and of $d$-Painlevé equations with an additive dynamic were derived. A coalescence cascade of the later is also discussed. |
| title | Affine Weyl groups and non-Abelian discrete systems: an application to the $d$-Painlevé equations |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2403.18463 |