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

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

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

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Veröffentlicht in:Theoretical and mathematical physics 2008-03, Vol.154 (3), p.385-404
Hauptverfasser: Nirov, Kh. S., Razumov, A. V.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Zusammenfassung:We consider Toda equations associated with twisted loop groups. Such equations are specified by ℤ-gradings of the corresponding twisted loop Lie algebras. We discuss the classification of Toda equations related to twisted loop Lie algebras with integrable ℤ-gradings.
ISSN:0040-5779
1573-9333
DOI:10.1007/s11232-008-0034-7