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

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

2008-09-09

arxiv.org/abs/0809.1509v2

Lett. Math. Phys. 87 (2009) 125-138

Physics

Mathematical Physics

13 pages, LaTeX, minor modifications and references added in v2

Scientific paper

10.1007/s11005-009-0298-3

The trigonometric Ruijsenaars-Schneider model is derived by symplectic reduction of Poisson-Lie symmetric free motion on the group U(n). The commuting flows of the model are effortlessly obtained by reducing canonical free flows on the Heisenberg double of U(n). The free flows are associated with a very simple Lax matrix, which is shown to yield the Ruijsenaars-Schneider Lax matrix upon reduction.

Affiliated with

Also associated with

No associations

Rating

Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-210493