Geodesic
$\mathbb Z$-graded loop Lie algebras, loop groups, and Toda equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 3, pp. 451-476

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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. 
@article{TMF_2008_154_3_a3,
     author = {Kh. Nirov and A. V. Razumov},
     title = {$\mathbb Z$-graded loop {Lie} algebras, loop groups, and {Toda} equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {451--476},
     publisher = {mathdoc},
     volume = {154},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_154_3_a3/}
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Kh. Nirov; A. V. Razumov. $\mathbb Z$-graded loop Lie algebras, loop groups, and Toda equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 3, pp. 451-476. http://geodesic.mathdoc.fr/item/TMF_2008_154_3_a3/