Geodesic
The Field of $U$-Invariants of the Adjoint Representation of the Group $\mathrm{GL}(n,K)$
Matematičeskie zametki, Tome 93 (2013) no. 1, pp. 144-147.

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Keywords: field of invariants, adjoint representation, unitriangular group. 
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K. A. Vyatkina; A. N. Panov. The Field of $U$-Invariants of the Adjoint Representation of the Group $\mathrm{GL}(n,K)$. Matematičeskie zametki, Tome 93 (2013) no. 1, pp. 144-147. http://geodesic.mathdoc.fr/item/MZM_2013_93_1_a13/

[1] K. Miyata, Nagoya Math. J., 41 (1971), 69–73 | MR | Zbl

[2] L. Pukanszky, Leçons sur les représentations des groupes, Monographies de la Société Mathématique de France, 2, Dunod, Paris, 1967 | MR | Zbl