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Sbornik: Mathematics, 2016, Volume 207, Issue 3, Pages 342–357
DOI: https://doi.org/10.1070/SM8487 (Mi sm8487) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Compact homogeneous spaces of reductive Lie groups and spaces close to them

V. V. Gorbatsevich

Moscow State Aviation Technological University, Moscow
English version PDF (446 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM8487
Abstract: We study compact homogeneous spaces of reductive Lie groups, and also some of their analogues and generalizations (quasicompact and plesiocompact homogeneous spaces of these Lie groups). We give a description of the structure of (plesio-)uniform subgroups in reductive Lie groups. The corresponding homogeneous spaces for which the stationary subgroup has an extremal dimension (close to the minimal or maximal possible one) are described. The fundamental groups of (plesio)compact homogeneous spaces of arbitrary reductive and semisimple Lie groups are characterized.
Bibliography: 16 titles.
Keywords: reductive Lie group, compact homogeneous space, lattice.
Received: 04.02.2015 and 23.05.2015
Russian version:
Matematicheskii Sbornik, 2016, Volume 207, Number 3, Pages 31–46
DOI: https://doi.org/10.4213/sm8487
Bibliographic databases:
Document Type: Article
UDC: 512.816.3
MSC: Primary 53C30; Secondary 22E99
Language: English
Original paper language: Russian
Citation: V. V. Gorbatsevich, “Compact homogeneous spaces of reductive Lie groups and spaces close to them”, Mat. Sb., 207:3 (2016), 31–46; Sb. Math., 207:3 (2016), 342–357
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:321
    Russian version PDF:37
    English version PDF:20
    References:70
    First page:46
     
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