Representations whose minimal reduction has a toric identity component
Differential Geometry
2012-12-27 v1 Metric Geometry
Representation Theory
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.
Cite
@article{arxiv.1212.5706,
title = {Representations whose minimal reduction has a toric identity component},
author = {Claudio Gorodski and Alexander Lytchak},
journal= {arXiv preprint arXiv:1212.5706},
year = {2012}
}
Comments
7 pages