Geodesic
Truncations of Toda chains and the reduction problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 143 (2005) no. 1, pp. 33-48

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We prove that the generalized Toda chains corresponding to simple Lie algebras of type $D$ are reductions of chains corresponding to Lie algebras of type $A$.
Keywords: generalized Toda chains, Darboux integrability
Mots-clés : Laplace invariants, Lax pair, simple Lie algebras. 
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     author = {I. T. Habibullin},
     title = {Truncations of {Toda} chains and the reduction problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {143},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_143_1_a3/}
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I. T. Habibullin. Truncations of Toda chains and the reduction problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 143 (2005) no. 1, pp. 33-48. http://geodesic.mathdoc.fr/item/TMF_2005_143_1_a3/