$U$-projectors and fields of $U$-invariants
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 2, pp. 133-144.

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We present the general construction of the $U$-projector (the homomorphism of an algebra into its field of $U$-invariants identical on the subalgebra of $U$-invariants). It is shown how to apply the $U$-projector to find the systems of free generators of the fields of $U$-invariants for representations of reductive groups.
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K. A. Vyatkina; A. N. Panov. $U$-projectors and fields of $U$-invariants. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 2, pp. 133-144. http://geodesic.mathdoc.fr/item/FPM_2016_21_2_a3/

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