Universität zu Köln

Gorodski, Claudio and Lytchak, Alexander (2015). REPRESENTATIONS WHOSE MINIMAL REDUCTION HAS A TORIC IDENTITY COMPONENT. Proc. Amer. Math. Soc., 143 (1). S. 379 - 387. PROVIDENCE: AMER MATHEMATICAL SOC. ISSN 1088-6826

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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 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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Gorodski, Claudio UNSPECIFIED UNSPECIFIED UNSPECIFIED Lytchak, Alexander UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-417072
Journal or Publication Title:	Proc. Amer. Math. Soc.
Volume:	143
Number:	1
Page Range:	S. 379 - 387
Date:	2015
Publisher:	AMER MATHEMATICAL SOC
Place of Publication:	PROVIDENCE
ISSN:	1088-6826
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language COMPACT LIE-GROUPS; CLASSIFICATION; FOLIATIONS Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/41707