Geodesic
Classification of three-dimensional linear Nijenhuis operators with functionally independent invariants
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2024), pp. 63-67

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The paper contains solution of the problem of classification of three-dimensional left-symmetric algebras satisfying the following additional condition: the coefficients of the characteristic polynomial of the operator $L^i_k(x)= \sum a^i_{ks}x^s$, where $a^i_{ks}$ are the structural constants of the algebra, are functionally independent polynomials of $x^1,\dots, x^n$. 
@article{VMUMM_2024_4_a8,
     author = {S. D. Degtiareva},
     title = {Classification of three-dimensional linear {Nijenhuis} operators with functionally independent invariants},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {63--67},
     publisher = {mathdoc},
     number = {4},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2024_4_a8/}
}
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S. D. Degtiareva. Classification of three-dimensional linear Nijenhuis operators with functionally independent invariants. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2024), pp. 63-67. http://geodesic.mathdoc.fr/item/VMUMM_2024_4_a8/