Kh. Nirov, A. V. Razumov, “<nobr>$\mathbb Z$</nobr>-graded loop Lie algebras, loop groups, and Toda equations”, TMF, 2008, Volume 154, Number 3,Pages <nobr>451

This article is cited in 5 papers

$\mathbb Z$-graded loop Lie algebras, loop groups, and Toda equations

Kh. Nirov^a, A. V. Razumov^b

^a Institute for Nuclear Research, Russian Academy of Sciences
^b Institute for High Energy Physics

Abstract: We consider Toda equations associated with twisted loop groups. Such equations are specified by $\mathbb Z$-gradings of the corresponding twisted loop Lie algebras. We discuss the classification of Toda equations related to twisted loop Lie algebras with integrable $\mathbb Z$-gradings.

Keywords: Toda equation, loop group, $\mathbb Z$-graded loop Lie algebra.

DOI: 10.4213/tmf6181