On conjugacy of stabilizers of reductive group actions

2019/01/29 by Popov, Vladimir L.
#Algebraic Geometry (math.AG) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1901.10858

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.

Related

• Principal orbit type theorems for reductive algebraic group actions and the Kempf--Ness Theorem
• Real geometric invariant theory
• Complete Reducibility and Conjugacy classes of tuples in Algebraic Groups and Lie algebras
• Closed Orbits and uniform S-instability in Geometric Invariant Theory
• Good Representations and Homogeneous Spaces