A complete local classification of gl-regular Haantjes operators is derived, together with a splitting theorem for the general case and a treatment of complex eigenvalues.
The geometry of Hamiltonian systems of hydrodynamic type. The generalized hodograph method
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Duality on operator Frobenius algebras solves the Eisenhart-Stäckel problem by classifying all nondegenerate finite-dimensional integrable systems with quadratic integrals where the associated (1,1)-tensors commute.
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Local description of gl-regular Haantjes operators
A complete local classification of gl-regular Haantjes operators is derived, together with a splitting theorem for the general case and a treatment of complex eigenvalues.
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Duality of operator Frobenius algebras and solution of Eisenhart-St\"ackel problem in the non-diagonal case
Duality on operator Frobenius algebras solves the Eisenhart-Stäckel problem by classifying all nondegenerate finite-dimensional integrable systems with quadratic integrals where the associated (1,1)-tensors commute.