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Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time ⋆

By Rustem Garifullin, Ismagil Habibullin and Marina Yangubaeva


Abstract. 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, these systems are proved to be integrable. For the systems corresponding A (1)

Topics: Key words, affine Lie algebra, difference-difference systems, S-integrability, Darboux integrability, Toda field theory, integral, symmetry, Lax pair
Year: 2013
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