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arxiv: 0908.0183 · v1 · submitted 2009-08-03 · 🧮 math.DG

Reductions, Resolutions and the Copolarity of Isometric Group Actions

Frederick Magata This is my paper
classification 🧮 math.DG
keywords actionsisometriccopolaritygroupreductionsconstructiondescribeexamples
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We present some results on reductions and the copolarity of isometric group actions, which we obtained in our thesis. We also describe a resolution construction for isometric actions with respect to a reduction and give examples.

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  1. Faces of invariant convex sets in representations of nontrivial copolarity

    math.DG 2026-04 unverdicted novelty 4.0

    In representations with nontrivial copolarity, faces of G-invariant compact convex sets are determined by their intersections with fat sections, including exposure of faces.