Moving frames and prolongations of real algebraic actions
Scot Adams
TL;DR
This paper proves that any real algebraic action on a smooth real algebraic variety can be extended to include a 'moving frame', facilitating the analysis of such actions.
Contribution
It introduces the concept of prolongation with a 'moving frame' for real algebraic actions, advancing the understanding of their structure.
Findings
Existence of prolongation with a moving frame for real algebraic actions
Extension of algebraic actions to include moving frames
Enhanced tools for analyzing real algebraic group actions
Abstract
We prove that every real algebraic action on a smooth real algebraic variety has a prolongation with a "moving frame".
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems · Polynomial and algebraic computation