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This article is cited in 3 scientific papers (total in 4 papers)
Semidirect sums of Lie algebras
A. L. Onishchik, Yu. B. Khakimdzhanov
M. V. Lomonosov Moscow State University
Abstract:
This paper examines the problem of classifying finite-dimensional Lie algebras over the field $C$ with a given radical $\mathfrak{r}$ and also the problem of classifying algebraic Lie algebras with a given nilpotent radical $\mathfrak{r}$. A detailed study is made of the case when $\mathfrak{r}$ is the nilpotent radical of a parabolic subalgebra of a semisimple Lie algebra.
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Mathematical Notes, 1975, 18:1, 600–604
Bibliographic databases:
 
UDC:
519.46
Received: 16.04.1974
Citation:
A. L. Onishchik, Yu. B. Khakimdzhanov, “Semidirect sums of Lie algebras”, Mat. Zametki, 18:1 (1975), 31–40; Math. Notes, 18:1 (1975), 600–604
Citation in format AMSBIB
\Bibitem{OniKha75}
\by A.~L.~Onishchik, Yu.~B.~Khakimdzhanov
\paper Semidirect sums of Lie algebras
\jour Mat. Zametki
\yr 1975
\vol 18
\issue 1
\pages 31--40
\mathnet{http://mi.mathnet.ru/mz7622}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=427409}
\zmath{https://zbmath.org/?q=an:0322.17003}
\transl
\jour Math. Notes
\yr 1975
\vol 18
\issue 1
\pages 600--604
\crossref{https://doi.org/10.1007/BF01461138}
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http://mi.mathnet.ru/eng/mz7622 http://mi.mathnet.ru/eng/mz/v18/i1/p31
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This publication is cited in the following articles:
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Yu. B. Khakimdzhanov, “On the cohomology of some nilpotent Lie algebras”, Math. USSR-Sb., 67:1 (1990), 99–116
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D. N. Akhiezer, È. B. Vinberg, V. V. Gorbatsevich, V. G. Durnev, R. Zulanke, L. S. Kazarin, D. A. Leites, V. V. Serganova, V. M. Tikhomirov, “Arkadii L'vovich Onishchik (on his 70th birthday)”, Russian Math. Surveys, 58:6 (2003), 1245–1253
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V. V. Gorbatsevich, “On algebraic Anosov diffeomorphisms on nilmanifolds”, Siberian Math. J., 45:5 (2004), 821–839
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V. V. Gorbatsevich, “On the maximal finite-dimensional Lie algebras with given nilradical”, Russian Math. (Iz. VUZ), 59:2 (2015), 29–35
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