Classification of the solutions of constant rational semi-dynamical reflection equations

Details Classification of the solutions of constant rational semi-dynamical reflection equations Classification of the solutions of constant rational semi-dynamical reflection equations

2005-11-30

arxiv.org/abs/nlin/0511067v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages, no figure. Dedicated to Daniel Arnaudon

Scientific paper

10.1007/s00023-006-0288-2

We propose a classification of the solutions K to the semi-dynamical
reflection equation with constant rational structure matrices associated to
rational scalar Ruijsenaars-Schneider model. Four sets of solutions are
identified and simple analytic transformations generate all solutions from
these sets.

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