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arxiv: 0705.2681 · v1 · submitted 2007-05-18 · 🧮 math-ph · hep-th· math.MP· nlin.SI

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

classification 🧮 math-ph hep-thmath.MPnlin.SI
keywords loopequationsalgebrastodatwistedgroupsz-gradationsassociated
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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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