On Z-graded loop Lie algebras, loop groups, and Toda equations

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/192599Toda equations associated with twisted loop groups are considered. Such equations are specified by Z-gradations of the corresponding twisted loop Lie algebras. The classification of Toda equations related to twisted loop Lie algebras with integrable Z-gradations is discussed.24 pages, talk given at the Workshop "Classical and Quantum Integrable Systems" (Dubna, January, 2007)Mathematical PhysicsHigh Energy Physics - TheoryExactly Solvable and Integrable SystemsOn Z-graded loop Lie algebras, loop groups, and Toda equationstext