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Parabolically connected subgroups
I. V. Netai M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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
Citation:
I. V. Netai, “Parabolically connected subgroups”, Mat. Sb., 202:8 (2011), 81–94; Sb. Math., 202:8 (2011), 1169–1182
Linking options:
https://www.mathnet.ru/eng/sm7741https://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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