Haantjes algebras and diagonalization

@article{Tempesta2021HaantjesAA,
  title={Haantjes algebras and diagonalization},
  author={Piergiulio Tempesta and Giorgio Tondo},
  journal={Journal of Geometry and Physics},
  year={2021},
  volume={160},
  pages={103968}
}
Abstract We introduce the notion of Haantjes algebra: It consists of an assignment of a family of operator fields on a differentiable manifold, each of them with vanishing Haantjes torsion. They are also required to satisfy suitable compatibility conditions. Haantjes algebras naturally generalize several known interesting geometric structures, arising in Riemannian geometry and in the theory of integrable systems. At the same time, as we will show, they play a crucial role in the theory of… Expand
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