REPRESENTATIONS WHOSE MINIMAL REDUCTION HAS A TORIC IDENTITY COMPONENT

Gorodski, Claudio; Lytchak, Alexander

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

REPRESENTATIONS WHOSE MINIMAL REDUCTION HAS A TORIC IDENTITY COMPONENT

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Author(s):	Gorodski, Claudio ^[1] ; Lytchak, Alexander ^[2] Total Authors: 2
Affiliation:	^[1] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, SP - Brazil ^[2] Univ Cologne, Math Inst, D-50931 Cologne - Germany Total Affiliations: 2
Document type:	Journal article
Source:	Proceedings of the American Mathematical Society; v. 143, n. 1, p. 379-386, JAN 2015.
Web of Science Citations:	5
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. (AU)

FAPESP's process:	11/21362-2 - Group actions, submanifold theory and global analysis in Riemannian and pseudo-Riemannian geometry
Grantee:	Paolo Piccione
Support Opportunities:	Research Projects - Thematic Grants

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