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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2012
• Hauptverfasser: Garifullin, R., Habibullin, I., Yangubaeva, M.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2012
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/148464
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time / R. Garifullin, I. Habibullin, M. Yangubaeva // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 41 назв. — англ.

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 integrable. For the systems corresponding to the algebras A₂, A₁⁽¹⁾, A₂⁽²⁾ genera...