Toda equations associated with loop groups of complex classical Lie groups

Abstract

A Toda equation is specified by a choice of a Lie group and a $\mathbb{Z}$-gradation of its Lie algebra. The Toda equations associated with loop groups of complex classical Lie groups, whose Lie algebras are endowed with integrable $\mathbb{Z}$-gradations with finite dimensional grading subspaces, are described in an explicit form.

39 pages

References in corpus (14)

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• Higher Symmetries of Toda Equations

Cited by in corpus (9)

• Integrable Deformations of Strings on Symmetric Spaces
• Pohlmeyer reduction revisited
• Spectral Relationships Between Kicked Harper and On-Resonance Double Kicked Rotor Operators
• Abelian Toda solitons revisited
• The rational dressing for abelian twisted loop Toda systems
• On Z-graded loop Lie algebras, loop groups, and Toda equations
• More non-Abelian loop Toda solitons
• Solving non-abelian loop Toda equations
• Kostant, Steinberg, and the Stokes matrices of the tt*-Toda equations