Theoretical analysis reveals functorial properties of moment maps and Kirwan-Ness stratification across real reductive groups, highlighting algebraic foundations for geometric invariant theory.
A finite dimensional real vector space carrying an action of a real reductive group possesses a moment map and a stratification as defined by Kirwan and Ness. In this article we investigate the properties of the moment map, the Kirwan-Ness stratification, and Lauret's application from a more functorial, algebraic point of view.
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Böhm et al. (2024) studied this question.
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