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Mathematics of the USSR-Sbornik, 1972, Volume 17, Issue 3, Pages 436–440
DOI: https://doi.org/10.1070/SM1972v017n03ABEH001520 (Mi sm3176) 		 
On the indecomposability of Borel manifolds

M. Ya. Blinkin
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DOI: https://doi.org/10.1070/SM1972v017n03ABEH001520
Abstract: Here we prove the indecomposability of the homogeneous space $G/T$ of a simple compact connected Lie group $G$ modulo a maximal torus $T$ (the author calls such manifolds Borel manifolds). From this and from the results of A. L. Onishchik we get a description of all the connected Lie groups which act transitively on Borel manifolds. This description is given in the paper.
Bibliography: 5 titles.
Received: 18.05.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 88(130), Number 3(7), Pages 442–446
Bibliographic databases:
UDC: 519.46
MSC: 57E15, 57E20, 14M15
Language: English
Original paper language: Russian
Citation: M. Ya. Blinkin, “On the indecomposability of Borel manifolds”, Mat. Sb. (N.S.), 88(130):3(7) (1972), 442–446; Math. USSR-Sb., 17:3 (1972), 436–440
Citation in format AMSBIB
\Bibitem{Bli72}
\by M.~Ya.~Blinkin
\paper On the indecomposability of Borel manifolds
\jour Mat. Sb. (N.S.)
\yr 1972
\vol 88(130)
\issue 3(7)
\pages 442--446
\mathnet{http://mi.mathnet.ru/sm3176}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=320370}
\zmath{https://zbmath.org/?q=an:0244.57018}
\transl
\jour Math. USSR-Sb.
\yr 1972
\vol 17
\issue 3
\pages 436--440
\crossref{https://doi.org/10.1070/SM1972v017n03ABEH001520}
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    Russian version PDF:86
    English version PDF:12
    References:42
     
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