On Conjugacy of Stabilizers of Reductive Group Actions


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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.

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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