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

Abstract

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.

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

References in corpus (2)

• Toda equations associated with loop groups of complex classical Lie groups
• On classification of non-abelian Toda systems

Cited by in corpus (3)

• Abelian Toda solitons revisited
• More non-Abelian loop Toda solitons
• Solving non-abelian loop Toda equations