Representations whose minimal reduction has a toric identity component

Gorodski, Claudio; Lytchak, Alexander

doi:10.1090/S0002-9939-2014-12259-3

Representations whose minimal reduction has a toric identity component
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by Claudio Gorodski and Alexander Lytchak PDF

Proc. Amer. Math. Soc. 143 (2015), 379-386 Request permission

Abstract:

We classify irreducible representations of connected compact Lie groups whose orbit space is isometric to the orbit space of a representation of a finite extension of a (positive-dimensional) toric group. They turn out to be exactly the non-polar irreducible representations preserving an isoparametric submanifold and acting with cohomogeneity one on it.

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