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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Huybrechts, Daniel / Hwang, Jun-Muk / Williamson, Geordie

IMPACT FACTOR 2018: 1.859

CiteScore 2018: 1.14

SCImago Journal Rank (SJR) 2018: 2.554
Source Normalized Impact per Paper (SNIP) 2018: 1.411

Mathematical Citation Quotient (MCQ) 2018: 1.55

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Volume 2014, Issue 691


On orbit spaces of representations of compact Lie groups

Claudio Gorodski
  • Institute of Mathematics and Statistics, University of São Paulo, Rua do Matão, 1010, São Paulo, São Paulo 05508-090, Brazil
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/ Alexander Lytchak
Published Online: 2012-11-06 | DOI: https://doi.org/10.1515/crelle-2012-0084


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.

About the article

Received: 2011-11-15

Revised: 2012-06-20

Published Online: 2012-11-06

Published in Print: 2014-06-01

Funding Source: CNPq

Award identifier / Grant number: 302472/2009-6

Funding Source: FAPESP

Award identifier / Grant number: 2007/03192-7

Funding Source: DFG

Award identifier / Grant number: Heisenberg grant

Funding Source: SFB

Award identifier / Grant number: 878

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2014, Issue 691, Pages 61–100, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/crelle-2012-0084.

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