Gradient Flows on Kač-Moody Algebras and the Periodic Toda Lattice

In this paper, we provide a new formulation for the generalized periodic Toda lattice. Since the work of Kostant, Adler and Symes, it has been known that the Toda lattice is related to the structure of simple Lie algebras. Indeed, the non-periodic and the periodic Toda lattices can be expressed as H...

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Veröffentlicht in:Communications in information and systems 2008, Vol.8 (2), p.107-126
1. Verfasser: Belabbas, M.-A.
Format: Artikel
Sprache:eng
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