Noncommutative integrability and recursion operators
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
Geometric structures underlying commutative and non commutative integrable dynamics are analyzed. They lead to a new characterization of noncommutative integrability in terms of spectral properties and of Nijenhuis torsion of an invariant (1,1) tensor field. The construction of compatible symplectic structures is also discussed.
Cite
@article{arxiv.nlin/0011047,
title = {Noncommutative integrability and recursion operators},
author = {G. Sparano and G. Vilasi},
journal= {arXiv preprint arXiv:nlin/0011047},
year = {2007}
}
Comments
20 pages, LaTex, no figures