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Comptes Rendus Mathématique
Volume 347, n° 23-24
pages 1419-1422 (décembre 2009)
Doi : 10.1016/j.crma.2009.09.013
Received : 19 June 2008 ;  accepted : 9 September 2009
Intégrabilité algébrique du réseau de Toda  
Algebraic integrability of the   Toda lattice
 

Djagwa Dehainsala
Université de Poitiers, laboratoire de mathématiques et applications, UMR 6086, SP2MI, téléport 2, boulevard Marie-et-Pierre-Curie, BP 30179, 86962 Futuroscope Chasseneuil cedex, France 

Résumé

Nous démontrons l’intégrabilité algébrique du réseau de Toda  , étudions la géométrie de ses variétés invariantes et explicitons un morphisme entre le réseau et le système de Mumford. Pour citer cet article : D. Dehainsala, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.
Abstract

We show the algebraic integrability of the   Toda lattice and study the geometry of its invariant manifolds. Also, we give an explicit morphism between this system and the Mumford system. To cite this article: D. Dehainsala, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.


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