Symmetries of Spin Calogero Models
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Symmetries of Spin Calogero Models
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| Creator |
Caudrelier, V.
Crampé, N. |
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| Description |
We investigate the symmetry algebras of integrable spin Calogero systems constructed from Dunkl operators associated to finite Coxeter groups. Based on two explicit examples, we show that the common view of associating one symmetry algebra to a given Coxeter group W is wrong. More precisely, the symmetry algebra heavily depends on the representation of W on the spins. We prove this by identifying two different symmetry algebras for a BL spin Calogero model and three for G₂ spin Calogero model. They are all related to the half-loop algebra and its twisted versions. Some of the result are extended to any finite Coxeter group.
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| Date |
2019-02-16T16:23:50Z
2019-02-16T16:23:50Z 2008 |
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| Type |
Article
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| Identifier |
Symmetries of Spin Calogero Models / V. Caudrelier, N. Crampé // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 30 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 70H06; 81R12; 81R50 http://dspace.nbuv.gov.ua/handle/123456789/147999 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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