Geodesic
Toda Field Theories and Integral Curves of Standard Differential Systems
Journal of Lie theory, Tome 27 (2017) no. 2, pp. 377-395 Cet article a éte moissonné depuis la source Heldermann Verlag

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This paper establishes three relations between the Toda field theory associated to a simple Lie algebra and the integral curves of the standard differential system on the corresponding complete flag variety. The motivation comes from the viewpoint on the Toda field theories as Darboux integrable differential systems as developed by I. Anderson, M. Fels, and P. Vassiliou [Superposition formulas for exterior differential systems, Adv. Math. 221 (2009) 1910--1963].
Classification : 37K10, 58A17, 53A55
Mots-clés : Toda field theory, standard differential system, integral curves, characteristic integrals, differential invariants 
@article{JLT_2017_27_2_JLT_2017_27_2_a4,
     author = {Z. Nie},
     title = {Toda {Field} {Theories} and {Integral} {Curves} of {Standard} {Differential} {Systems}},
     journal = {Journal of Lie theory},
     pages = {377--395},
     year = {2017},
     volume = {27},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2017_27_2_JLT_2017_27_2_a4/}
}
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Z. Nie. Toda Field Theories and Integral Curves of Standard Differential Systems. Journal of Lie theory, Tome 27 (2017) no. 2, pp. 377-395. http://geodesic.mathdoc.fr/item/JLT_2017_27_2_JLT_2017_27_2_a4/