Geodesic
Jordan--Kronecker invariants of semidirect sums of the form $\mathrm{sl}(n)+(\mathbb R^{n})^k$ and $\mathrm{gl}(n)+(\mathbb R^{n})^k$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 6, pp. 3-18

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We calculate Jordan–Kronecker invariants for semidirect sums of Lie algebras $\mathrm{sl}(n)$ and $\mathrm{gl}(n)$ with $k$ copies of $\mathbb R^n$ with respect to their standard representation for cases where $k>n$ or $n$ is a multiple of $k$. 
@article{FPM_2019_22_6_a0,
     author = {K. S. Vorushilov},
     title = {Jordan--Kronecker invariants of semidirect sums of the form $\mathrm{sl}(n)+(\mathbb R^{n})^k$ and $\mathrm{gl}(n)+(\mathbb R^{n})^k$},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {3--18},
     publisher = {mathdoc},
     volume = {22},
     number = {6},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2019_22_6_a0/}
}
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K. S. Vorushilov. Jordan--Kronecker invariants of semidirect sums of the form $\mathrm{sl}(n)+(\mathbb R^{n})^k$ and $\mathrm{gl}(n)+(\mathbb R^{n})^k$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 6, pp. 3-18. http://geodesic.mathdoc.fr/item/FPM_2019_22_6_a0/