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Matematicheskie Zametki, 1976, Volume 20, Issue 1, Pages 3–10 (Mi mzm7819)  
This article is cited in 2 scientific papers (total in 2 papers)

Derivations of Lie algebras

A. N. Grishkov

Novosibirsk State University
Full-text PDF (643 kB) Citations (2)
Abstract: In this paper we prove a theorem on the expansion into a sum of a derivation of a splittable finite-dimensional Lie algebra over a field of characteristic 0. We investigate the structure of the derivation algebra D(L) of a free nilpotent Lie algebra L and we show that the algebra D (D(L)) is perfect.
Received: 05.10.1974
English version:
Mathematical Notes, 1976, Volume 20, Issue 1, Pages 559–563
DOI: https://doi.org/10.1007/BF01152757
Bibliographic databases:
UDC: 519.4
Language: Russian
Citation: A. N. Grishkov, “Derivations of Lie algebras”, Mat. Zametki, 20:1 (1976), 3–10; Math. Notes, 20:1 (1976), 559–563
Citation in format AMSBIB
\Bibitem{Gri76}
\by A.~N.~Grishkov
\paper Derivations of Lie algebras
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 1
\pages 3--10
\mathnet{http://mi.mathnet.ru/mzm7819}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=427407}
\zmath{https://zbmath.org/?q=an:0347.17006}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 1
\pages 559--563
\crossref{https://doi.org/10.1007/BF01152757}
Linking options:
  • https://www.mathnet.ru/eng/mzm7819
  • https://www.mathnet.ru/eng/mzm/v20/i1/p3
    • This publication is cited in the following 2 articles:
    1. Zhiguang Hu, Haichuan Bai, “A note on splittable linear Lie algebras”, Linear Algebra and its Applications, 2024  crossref
    2. Eugene M Luks, “Derivation towers of Lie algebras”, Journal of Algebra, 61:1 (1979), 281  crossref
    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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