Noncommutative integrability and recursion operators

Details Noncommutative integrability and recursion operators Noncommutative integrability and recursion operators

2000-11-27

arxiv.org/abs/nlin/0011047v1

J. Geom. Phys. 653 (2000) 1-15

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages, LaTex, no figures

Scientific paper

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.

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