%0 Journal Article %T Representations whose minimal reduction has a toric identity component %A Claudio Gorodski %A Alexander Lytchak %J Mathematics %D 2012 %I arXiv %X 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. %U http://arxiv.org/abs/1212.5706v1