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Matematicheskie Zametki, 1978, Volume 23, Issue 1, Pages 27–30 (Mi mzm8114)  
This article is cited in 5 scientific papers (total in 5 papers)

Decompositions of nilpotent Lie algebras

F. M. Malyshev

V. A. Steklov Mathematical Institute, USSR Academy of Sciences
Full-text PDF (290 kB) Citations (5) English version article
Abstract: It is proved that decompositions of nilpotent Lie algebras are global. In the complex case, nilpotency is also a necessary condition for every decomposition to be global. The results obtained are applied to the classification of complex homogeneous spaces of simply connected nilpotent Lie groups.
Received: 05.09.1975
English version:
Mathematical Notes, 1978, Volume 23, Issue 1, Pages 17–18
DOI: https://doi.org/10.1007/BF01104878
Bibliographic databases:
UDC: 512
Language: Russian
Citation: F. M. Malyshev, “Decompositions of nilpotent Lie algebras”, Mat. Zametki, 23:1 (1978), 27–30; Math. Notes, 23:1 (1978), 17–18
Citation in format AMSBIB
\Bibitem{Mal78}
\by F.~M.~Malyshev
\paper Decompositions of nilpotent Lie algebras
\jour Mat. Zametki
\yr 1978
\vol 23
\issue 1
\pages 27--30
\mathnet{http://mi.mathnet.ru/mzm8114}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=487257}
\zmath{https://zbmath.org/?q=an:0404.17006|0373.17005}
\transl
\jour Math. Notes
\yr 1978
\vol 23
\issue 1
\pages 17--18
\crossref{https://doi.org/10.1007/BF01104878}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:4
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