Geodesic
Construction of trigonometric Toda $r$-matrices via Hamiltonian reduction of the cotangent bundle over loop groups
Teoretičeskaâ i matematičeskaâ fizika, Tome 113 (1997) no. 1, pp. 3-12 
G. E. Arutyunov. Construction of trigonometric Toda $r$-matrices via Hamiltonian reduction of the cotangent bundle over loop groups. Teoretičeskaâ i matematičeskaâ fizika, Tome 113 (1997) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/TMF_1997_113_1_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

By applying the Hamiltonian reduction method to the cotangent bundle over loop groups, we recover the well-known classical trigonometric $r$-matrices of the periodic Toda lattice.

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