U-Projectors and Fields of U-Invariants


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Abstract

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.

About the authors

K. A. Vyatkina

Samara University

Author for correspondence.
Email: vjatkina@gmail.com
Russian Federation, Samara

A. N. Panov

Samara University

Email: vjatkina@gmail.com
Russian Federation, Samara

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