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Regular version of the site

Article

On Conjugacy of Stabilizers of Reductive Group Actions

Mathematical notes. 2019. Vol. 105. No. 3-4. P. 580-581.

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.