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arxiv: nlin/0011047 · v1 · submitted 2000-11-27 · 🌊 nlin.SI

Noncommutative integrability and recursion operators

classification 🌊 nlin.SI
keywords commutativeintegrabilitynoncommutativestructuresanalyzedcharacterizationcompatibleconstruction
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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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