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Sbornik: Mathematics, 2011, Volume 202, Issue 8, Pages 1169–1182
DOI: https://doi.org/10.1070/SM2011v202n08ABEH004182
(Mi sm7741)
 

Parabolically connected subgroups

I. V. Netai

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Abstract: All reductive spherical subgroups of the group $\operatorname{SL}(n)$ are found for which the intersections with every parabolic subgroup of $\operatorname{SL}(n)$ are connected. This condition guarantees that open equivariant embeddings of the corresponding homogeneous spaces into Moishezon spaces are algebraic.
Bibliography: 6 titles.
Keywords: reductive group, parabolic subgroup, spherical subgroup, flag, Moishezon space.
Received: 16.05.2010 and 08.09.2010
Russian version:
Matematicheskii Sbornik, 2011, Volume 202, Number 8, Pages 81–94
DOI: https://doi.org/10.4213/sm7741
Bibliographic databases:
Document Type: Article
UDC: 512.743
MSC: Primary 20G20; Secondary 14L30, 14L35, 20G07, 32M05
Language: English
Original paper language: Russian
Citation: I. V. Netai, “Parabolically connected subgroups”, Mat. Sb., 202:8 (2011), 81–94; Sb. Math., 202:8 (2011), 1169–1182
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM2011v202n08ABEH004182
  • https://www.mathnet.ru/eng/sm/v202/i8/p81
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    Abstract page:450
    Russian version PDF:184
    English version PDF:8
    References:54
    First page:53
     
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