On conjugacy of stabilizers of reductive group actions
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math.GR
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actionsgroupreductivetheoremsalgebraicargumentarxivcase
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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.
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