Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction (Q1013633)
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| Language | Label | Description | Also known as |
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| English | Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction |
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Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction (English)
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20 April 2009
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The authors develop a Poisson-Lie like generalization of the Kaszhdan-Kostant-Sternberg reduction yielding the trigonometric Ruijsenaars-Schneider relativistic integrable system. The commuting flows of this model are obtained by reducing canonical free flows of the Heisenberg double which are associated with a simple Lax matrix. A comparison with analogous results of the other authors is indicated.
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Ruijsenaars-Schneider model
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Poisson-Lie symmetry
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integrability
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commuting flows
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symplectic reduction
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