On Conjugacy of Stabilizers of Reductive Group Actions
- Authors: Popov V.L.1,2
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- National Research University Higher School of Economics
- Issue: Vol 105, No 3-4 (2019)
- Pages: 580-581
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/151681
- DOI: https://doi.org/10.1134/S0001434619030301
- ID: 151681
Cite item
Abstract
It is shown that the main result of N. R. Wallach, Principal orbit type theorems for reductive algebraic group actions and the Kempf–Ness Theorem, arXiv:1811.07195v1 (17 Nov 2018), is a special case of a more general statement, which can be deduced, using a short argument, from the classical Richardson and Luna theorems.
Keywords
About the authors
V. L. Popov
Steklov Mathematical Institute of Russian Academy of Sciences; National Research University Higher School of Economics
Author for correspondence.
Email: popovvl@mi-ras.ru
Russian Federation, Moscow, 119991; Moscow, 101000
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