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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}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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