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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
English version PDF (458 kB) Russian version article
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DOI: https://doi.org/10.1070/SM2011v202n08ABEH004182
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
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”, Sb. Math., 202:8 (2011), 1169–1182
Citation in format AMSBIB
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    Russian version PDF:189
    English version PDF:10
    References:62
    First page:53
     
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