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Mathematics of the USSR-Izvestiya, 1975, Volume 9, Issue 5, Pages 939–949
DOI: https://doi.org/10.1070/IM1975v009n05ABEH001512
(Mi im2075)
 

This article is cited in 7 scientific papers (total in 7 papers)

Complex homogeneous spaces of semisimple Lie groups of the first category

F. M. Malyshev
References:
Abstract: Let $G$ be a connected, real, semisimple Lie group of the first category. In this paper are found all the connected closed subgroups $L$ in $G$ which are such that there exists a complex structure on $M=G/L$, invariant under the action of $G$; and also a description is given of all such structures on $M$. It turns out that the complex homogeneous spaces $M$ thus obtained are covering spaces of homogeneous domains in compact complex homogeneous spaces $\widetilde M$. If $G$ is a linear group, then the manifolds $M$ are homogeneous domains in $\widetilde M$; moreover the fibers of the Tits fibration of $\widetilde M$ can only lie entirely in $M$, and the set of all fibers in $M$ forms a homogeneous domain in the base space of the corresponding Tits fibration.
Bibliography: 16 titles.
Received: 09.01.1975
Bibliographic databases:
UDC: 519.4
MSC: 32M10
Language: English
Original paper language: Russian
Citation: F. M. Malyshev, “Complex homogeneous spaces of semisimple Lie groups of the first category”, Math. USSR-Izv., 9:5 (1975), 939–949
Citation in format AMSBIB
\Bibitem{Mal75}
\by F.~M.~Malyshev
\paper Complex homogeneous spaces of semisimple Lie groups of the first category
\jour Math. USSR-Izv.
\yr 1975
\vol 9
\issue 5
\pages 939--949
\mathnet{http://mi.mathnet.ru//eng/im2075}
\crossref{https://doi.org/10.1070/IM1975v009n05ABEH001512}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=402132}
\zmath{https://zbmath.org/?q=an:0322.53024}
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  • https://doi.org/10.1070/IM1975v009n05ABEH001512
  • https://www.mathnet.ru/eng/im/v39/i5/p992
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:259
    Russian version PDF:78
    English version PDF:10
    References:46
    First page:1
     
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