U-Projectors and Fields of U-Invariants

@article{Vyatkina2019UProjectorsAF,
  title={U-Projectors and Fields of U-Invariants},
  author={K. A. Vyatkina and Alexander N. Panov},
  journal={Journal of Mathematical Sciences},
  year={2019},
  volume={237},
  pages={245-253}
}
We present a 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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