English

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

Mathematical Physics 2008-11-26 v1 High Energy Physics - Theory math.MP Exactly Solvable and Integrable Systems

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.

Keywords

Cite

@article{arxiv.0705.2681,
  title  = {On Z-graded loop Lie algebras, loop groups, and Toda equations},
  author = {Kh. S. Nirov and A. V. Razumov},
  journal= {arXiv preprint arXiv:0705.2681},
  year   = {2008}
}
R2 v1 2026-06-21T08:29:36.952Z