Video library: I. T. Habibullin, Cartan matrices and integrable lattice Toda field equations

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International conference "Geometrical Methods in Mathematical Physics" December 16, 2011 16:45, Moscow, Lomonosov Moscow State University

Cartan matrices and integrable lattice Toda field equations I. T. Habibullin Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa
Abstract: Differential-difference integrable exponential type systems are studied corresponding to the Cartan matrices of semi-simple or affine Lie algebras. For the systems corresponding to the algebras $A_{2},B_{2},C_{2},G_{2}$ the complete sets of integrals in both directions are found. For the simple Lie algebras of the classical series $A_{N},B_{N},C_{N}$ and affine algebras of series $D_{N}^{(2)}$ the corresponding systems are supplied with the Lax representation. References. [1] Ismagil Habibullin, Kostyantyn Zheltukhin and Marina Yangubaeva, Cartan matrices and integrable lattice Toda field equations, J. Phys. A: Math. Theor. 44 (2011) 465202 (20pp). [2] Ismagil Habibullin, Rustem N. Garifullin, Affine Lie algebras and integrable Toda field equations on discrete space-time, arXiv:1109.1689 (2011). Language: English