The dynamical twisting and nondynamical \(r\)-matrix structure of the elliptic Ruijsenaars-Schneider model (Q2737825)
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scientific article; zbMATH DE number 1639019
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The dynamical twisting and nondynamical \(r\)-matrix structure of the elliptic Ruijsenaars-Schneider model |
scientific article; zbMATH DE number 1639019 |
Statements
30 August 2001
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Calogero-Moser model
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Ruijsenaars-Schneider model
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classical \(r\)-matrix
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quadratic Poisson-Lie bracket
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Lax representation
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The dynamical twisting and nondynamical \(r\)-matrix structure of the elliptic Ruijsenaars-Schneider model (English)
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The dynamical twisting relations of the classical \(r\)-matrix for the quadratic Poisson-Lie bracket are constructed and conditions for the existence of a ``good'' Lax representation are found. Brief reviews of the previous works on the dynamical \(r\)-matrix of the elliptic RS model are presented. Lax representation for an elliptic RS model and the corresponding nondynamical \(r\)-matrix structure is obtained. The quantum version of the Lax operator is constructed.
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