Poisson–Lie Generalization of the Kazhdan–Kostant–Sternberg Reduction
Poisson–Lie Generalization of the Kazhdan–Kostant–Sternberg Reduction
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Kazhdan-Kostant-Sternberg 约简的泊松-李推广
DOI：
10.1007/s11005-009-0298-3
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发表时间：
2008
影响因子：
1.2
通讯作者：
C. Klimčík
中科院分区：
文献类型：
--
作者：
L. Fehér;C. Klimčík
三角Ruijsenaars-Schneider模型是由群U（n）上Poisson-Lie对称自由运动的辛约化导出的。模型的交换流是通过约化U（n）的海森堡对偶上的正则自由流而毫不费力地得到的。自由流动与一个非常简单的拉克斯矩阵，这是产生的Ruijsenaars-Schneider拉克斯矩阵减少后。
The trigonometric Ruijsenaars–Schneider model is derived by symplectic reduction of Poisson–Lie symmetric free motion on the groupU(n). The commuting flows of the model are effortlessly obtained by reducing canonical free flows on the Heisenberg double ofU(n). The free flows are associated with a very simple Lax matrix, which is shown to yield the Ruijsenaars–Schneider Lax matrix upon reduction.