Garifullin, R.; Habibullin, I.; Yangubaeva, M.
(Symmetry, Integrability and Geometry: Methods and Applications, 2012)
Difference-difference systems are suggested corresponding to the Cartan matrices of any simple or affine Lie algebra. In the cases of the algebras AN, BN, CN, G₂, D₃, A₁⁽¹⁾, A₂⁽²⁾, DN⁽²⁾ these systems are proved to be ...