Universität zu Köln

Gorodski, Claudio and Lytchak, Alexander (2014). On orbit spaces of representations of compact Lie groups. J. Reine Angew. Math., 691. S. 61 - 101. BERLIN: WALTER DE GRUYTER GMBH. ISSN 1435-5345

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Abstract

We investigate orthogonal representations of compact Lie groups from the point of view of their quotient spaces, considered as metric spaces. We study metric spaces which are simultaneously quotients of different representations and investigate properties of the corresponding representations. We obtain some structural results and apply them to study irreducible representations of small copolarity. As an important tool, we classify all irreducible representations of connected groups with cohomogeneity four or five.

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:38-436482
DOI:	10.1515/crelle-2012-0085
Journal or Publication Title:	J. Reine Angew. Math.
Volume:	691
Page Range:	S. 61 - 101
Date:	2014
Publisher:	WALTER DE GRUYTER GMBH
Place of Publication:	BERLIN
ISSN:	1435-5345
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 SINGULAR RIEMANNIAN FOLIATIONS; CLASSIFICATION; CURVATURE; THEOREM Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/43648