The Adler Kostant Symes scheme in physics
Mathematical Physics
2008-05-21 v1 math.MP
Abstract
The purpose of this material is to review the Adler Kostant Symes scheme as a theory which can be developped succesfully in different contexts. It was useful to describe some mechanical systems, the so called generalized Toda, and now it was proved to be a tool for the study of the linear approach to the motion of n uncoupled harmonic oscillators. The complete integrability of these systems has an algebraic description. In the original theory this is related to ad-invariant functions, but new examples show that new conditions should be investigated.
Cite
@article{arxiv.0805.2963,
title = {The Adler Kostant Symes scheme in physics},
author = {Gabriela P. Ovando},
journal= {arXiv preprint arXiv:0805.2963},
year = {2008}
}