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

Physics – Mathematical Physics

Scientific paper

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24 pages, talk given at the Workshop "Classical and Quantum Integrable Systems" (Dubna, January, 2007)

Scientific paper

10.1007/s11232-008-0034-7

Toda 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.

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