Superintegrable systems and classical $r$-matrix method
Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 3, pp. 428-447
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Superintegrable systems are considered in the framework of the classical $r$-matrix method.By using other authomorphisms of the loop algebras new superintegrable systems with rational potentials from geodesic motion on $\mathbb R^{2n}$ are constructed.
@article{TMF_1997_112_3_a6,
author = {A. V. Tsiganov},
title = {Superintegrable systems and classical $r$-matrix method},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {428--447},
publisher = {mathdoc},
volume = {112},
number = {3},
year = {1997},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1997_112_3_a6/}
}
A. V. Tsiganov. Superintegrable systems and classical $r$-matrix method. Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 3, pp. 428-447. http://geodesic.mathdoc.fr/item/TMF_1997_112_3_a6/