Generalised spin Calogero-Moser systems from Cherednik algebras
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909793188315136 |
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| author | Feigin, Misha Vasilev, Mikhail Vrabec, Martin |
| author_facet | Feigin, Misha Vasilev, Mikhail Vrabec, Martin |
| contents | Integrable spin Calogero-Moser type systems with non-symmetric configurations of the singularities of the potential appeared in the work of Chalykh, Goncharenko, and Veselov in 1999. We obtain various generalisations of these examples by making use of the representation theory of Cherednik algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14099 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalised spin Calogero-Moser systems from Cherednik algebras Feigin, Misha Vasilev, Mikhail Vrabec, Martin Mathematical Physics High Energy Physics - Theory Quantum Algebra Exactly Solvable and Integrable Systems Integrable spin Calogero-Moser type systems with non-symmetric configurations of the singularities of the potential appeared in the work of Chalykh, Goncharenko, and Veselov in 1999. We obtain various generalisations of these examples by making use of the representation theory of Cherednik algebras. |
| title | Generalised spin Calogero-Moser systems from Cherednik algebras |
| topic | Mathematical Physics High Energy Physics - Theory Quantum Algebra Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2509.14099 |