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

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. 
@article{TMF_1997_113_1_a0,
     author = {G. E. Arutyunov},
     title = {Construction of trigonometric {Toda} $r$-matrices via {Hamiltonian} reduction of the cotangent bundle over loop groups},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--12},
     publisher = {mathdoc},
     volume = {113},
     number = {1},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_113_1_a0/}
}
TY  - JOUR
AU  - G. E. Arutyunov
TI  - Construction of trigonometric Toda $r$-matrices via Hamiltonian reduction of the cotangent bundle over loop groups
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1997
SP  - 3
EP  - 12
VL  - 113
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1997_113_1_a0/
LA  - ru
ID  - TMF_1997_113_1_a0
ER  - 
%0 Journal Article
%A G. E. Arutyunov
%T Construction of trigonometric Toda $r$-matrices via Hamiltonian reduction of the cotangent bundle over loop groups
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1997
%P 3-12
%V 113
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1997_113_1_a0/
%G ru
%F TMF_1997_113_1_a0
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/