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Funktsional'nyi Analiz i ego Prilozheniya, 2022, Volume 56, Issue 4, Pages 25–34
DOI: https://doi.org/10.4213/faa4005 (Mi faa4005) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On maximal extensions of nilpotent Lie algebras

V. V. Gorbatsevich
Full-text PDF (445 kB) Citations (1)
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DOI: https://doi.org/10.4213/faa4005
Abstract: Extensions of finite-dimensional nilpotent Lie algebras, in particular, solvable extensions, are considered. Some properties of maximal extensions are proved. A counterexample to L. Šnobl's conjecture concerning the uniqueness of maximal solvable extensions is constructed.
Keywords: nilpotent Lie algebra, solvable Lie algebra, extension, splitting.
Received: 05.04.2022
Revised: 08.09.2022
Accepted: 12.09.2022
English version:
Functional Analysis and Its Applications, 2022, Volume 56, Issue 4, Pages 257–263
DOI: https://doi.org/10.1134/S0016266322040037
Bibliographic databases:
Document Type: Article
UDC: 512.554.3
Language: Russian
Citation: V. V. Gorbatsevich, “On maximal extensions of nilpotent Lie algebras”, Funktsional. Anal. i Prilozhen., 56:4 (2022), 25–34; Funct. Anal. Appl., 56:4 (2022), 257–263
Citation in format AMSBIB
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\by V.~V.~Gorbatsevich
\paper On maximal extensions of nilpotent Lie algebras
\jour Funktsional. Anal. i Prilozhen.
\yr 2022
\vol 56
\issue 4
\pages 25--34
\mathnet{http://mi.mathnet.ru/faa4005}
\crossref{https://doi.org/10.4213/faa4005}
\transl
\jour Funct. Anal. Appl.
\yr 2022
\vol 56
\issue 4
\pages 257--263
\crossref{https://doi.org/10.1134/S0016266322040037}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85160334568}
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  • https://doi.org/10.4213/faa4005
  • https://www.mathnet.ru/eng/faa/v56/i4/p25
    • This publication is cited in the following 1 articles:
    1. B.A. Omirov, I.S. Rakhimov, G.O. Solijanova, “The description of solvable Lie superalgebras of maximal rank”, Linear Algebra and its Applications, 695 (2024), 136  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    References:77
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