U-Projectors and Fields of U-Invariants
- Authors: Vyatkina K.A.1, Panov A.N.1
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Affiliations:
- Samara University
- Issue: Vol 237, No 2 (2019)
- Pages: 245-253
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242319
- DOI: https://doi.org/10.1007/s10958-019-4151-7
- ID: 242319
Cite item
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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