Representations whose minimal reduction has a toric identity component

Claudio Gorodski; Alexander Lytchak

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arXiv · 1212.5706

Representations whose minimal reduction has a toric identity component

Claudio Gorodski·Alexander Lytchak

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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 (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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Claudio Gorodski, Alexander Lytchak. 2012-12-22. Representations whose minimal reduction has a toric identity component. https://arxiv.org/abs/1212.5706

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