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 (2)

• On classification of non-abelian Toda systems
• Higher Symmetries of Toda Equations

Cited by in corpus (6)

• Pohlmeyer reduction revisited
• The rational dressing for abelian twisted loop Toda systems
• Abelian Toda solitons revisited
• On Z-graded loop Lie algebras, loop groups, and Toda equations
• More non-Abelian loop Toda solitons
• Solving non-abelian loop Toda equations