Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction

Abstract:

The trigonometric Ruijsenaars-Schneider model is interpreted as symplectic reduction of Poisson-Lie symmetric free motion on the group U(n). The dual model also arises naturally as the reduction of a canonical integrable system on the Heisenberg double of U(n). Talk based on joint work with C. Klimcik: arXiv:0809.1509 [math-ph] and continuation in preparation.