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Noncommutative integrability and recursion operators

G. Sparano·G. Vilasi
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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.

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G. Sparano, G. Vilasi. 2000-11-27. Noncommutative integrability and recursion operators. https://arxiv.org/abs/nlin/0011047

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