Non-commutative and commutative integrability of generic Toda flows in simple Lie algebras

M. Gekhtman; M. Shapiro

Non-commutative and commutative integrability of generic Toda flows in simple Lie algebras

solv-int 2008-02-03 v1 Exactly Solvable and Integrable Systems

Authors: M. Gekhtman , M. Shapiro

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Abstract

In this paper we prove the complete integrability of Toda flows on generic coadjoint orbits in simple Lie algebras.

Keywords

non-commutative integrability commutative integrability toda flow simple lie algebra coadjoint orbit

Cite

@article{arxiv.solv-int/9704011,
  title  = {Non-commutative and commutative integrability of generic Toda flows in simple Lie algebras},
  author = {M. Gekhtman and M. Shapiro},
  journal= {arXiv preprint arXiv:solv-int/9704011},
  year   = {2008}
}