Representations of low copolarity

2021/06/01 by Gomes, André Magalhães de Sá, Gorodski, Claudio
#20G05 #22E46 (Primary) 51F15 (Secondary) #57S15 #FOS: Mathematics #Metric Geometry (math.MG) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2106.00458

Abstract

We classify irreducible representations of compact connected Lie groups whose orbit space is isometric to the orbit space of a representation of a compact Lie group of dimension~7, 8 or 9. They turn out to be closely related to symmetric spaces, with one exception only.

Related

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• Representations of Compact Lie Groups of Low Cohomogeneity
• Representations whose minimal reduction has a toric identity component
• Representations of compact simple Lie groups whose orbit space has non-empty boundary
• Representations of compact Lie groups and the osculating spaces of their orbits