Algebraic Complete Integrability of the ⁽²⁾₄ Toda Lattice

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2024
• Автори: Lietap Ndi, Bruce Lionnel, Dehainsala, Djagwa, Dongho, Joseph
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2024
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/212608
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Algebraic Complete Integrability of the ⁽²⁾₄ Toda Lattice. Bruce Lionnel Lietap Ndi, Djagwa Dehainsala and Joseph Dongho. SIGMA 20 (2024), 087, 26 pages

This work aims to investigate the algebraic complete integrability of the Toda lattice associated with the twisted affine Lie algebra ⁽²⁾₄. First, we prove that the generic fiber of the momentum map for this system is an affine part of an abelian surface. Second, we show that the flows of integrable...