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Izvestiya: Mathematics, 2011, Volume 75, Issue 4, Pages 815–836
DOI: https://doi.org/10.1070/IM2011v075n04ABEH002553 (Mi im4215) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the orbit space of a three-dimensional compact linear Lie group

O. G. Styrt

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (338 kB) Citations (5)
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DOI: https://doi.org/10.1070/IM2011v075n04ABEH002553
Abstract: We study the question of whether the topological quotient of a real linear representation of a simple three-dimensional compact Lie group is a manifold. We obtain an upper bound for the dimension of a representation whose quotient is a manifold, and examine most of the remaining cases.
Keywords: Lie group, topological quotient of an action.
Received: 14.09.2009
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2011, Volume 75, Issue 4, Pages 165–188
DOI: https://doi.org/10.4213/im4215
Bibliographic databases:
Document Type: Article
UDC: 512.815.1
MSC: 22E45, 22C05, 22E15
Language: English
Original paper language: Russian
Citation: O. G. Styrt, “On the orbit space of a three-dimensional compact linear Lie group”, Izv. RAN. Ser. Mat., 75:4 (2011), 165–188; Izv. Math., 75:4 (2011), 815–836
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v75/i4/p165
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    This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:204
    English version PDF:10
    References:57
    First page:16
     
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