1205.4910 (Sotiris Konstantinou-Rizos et al.)

Yang-Baxter maps and finite reduction groups with degenerated orbits    [PDF]

Sotiris Konstantinou-Rizos, Alexander Mikhailov

In this paper we construct Yang-Baxter maps from Lax matrices with structure inherited from Darboux transformations obtained under the action of the reduction group. In a systematic way we construct Darboux matrices invariant under the reduction group. We present 4 and 6-dimensional YB maps corresponding to all the finite reduction groups with degenerated orbits. We also consider a vector generalisation of these Yang-Baxter maps.

View original: http://arxiv.org/abs/1205.4910