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Mathematics of the USSR-Sbornik, 1991, Volume 70, Issue 1, Pages 65–78
DOI: https://doi.org/10.1070/SM1991v070n01ABEH001378 (Mi sm1194) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Characteristically nilpotent Lie algebras

Yu. B. Khakimdzhanov

V. I. Lenin Tashkent State University
English version PDF (725 kB) Citations (11) Russian version article
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DOI: https://doi.org/10.1070/SM1991v070n01ABEH001378
Abstract: We prove the existence of a nonempty Zariski open subset consisting of characteristically nilpotent Lie algebras in the variety of structures of nilpotent Lie algebras of dimension $\geqslant12$. We construct vast families of characteristically nilpotent Lie algebras of arbitrary dimension $\geqslant7$.
Received: 06.03.1989
Bibliographic databases:
UDC: 512.5
MSC: 17B30, 17B56
Language: English
Original paper language: Russian
Citation: Yu. B. Khakimdzhanov, “Characteristically nilpotent Lie algebras”, Math. USSR-Sb., 70:1 (1991), 65–78
Citation in format AMSBIB
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\by Yu.~B.~Khakimdzhanov
\paper Characteristically nilpotent Lie algebras
\jour Math. USSR-Sb.
\yr 1991
\vol 70
\issue 1
\pages 65--78
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\crossref{https://doi.org/10.1070/SM1991v070n01ABEH001378}
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\zmath{https://zbmath.org/?q=an:0716.17008|0728.17007}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991SbMat..70...65K}
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  • https://www.mathnet.ru/eng/sm/v181/i5/p642
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1989–1990 Sbornik: Mathematics
     
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